Live analysis

480,000

480,000 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

480,000 (four hundred eighty thousand) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2⁸ × 3 × 5⁴. Its proper divisors sum to 1,116,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x75300.

Abundant Number Frugal Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

479,988 479,989 479,990 479,991 479,992 479,993 479,994 479,995 479,996 479,997 479,998 479,999 480,000 480,001 480,002 480,003 480,004 480,005 480,006 480,007 480,008 480,009 480,010 480,011 480,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 84
Square (n²): 230,400,000,000
Cube (n³): 110,592,000,000,000,000
Divisor count: 90
σ(n) — sum of divisors: 1,596,364
φ(n) — Euler's totient: 128,000
Sum of prime factors: 39

Primality

Prime factorization: 2 ⁸ × 3 × 5 ⁴

Nearest primes: 479,971 (−29) · 480,013 (+13)

Divisors & multiples

All divisors (90)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 32 · 40 · 48 · 50 · 60 · 64 · 75 · 80 · 96 · 100 · 120 · 125 · 128 · 150 · 160 · 192 · 200 · 240 · 250 · 256 · 300 · 320 · 375 · 384 · 400 · 480 · 500 · 600 · 625 · 640 · 750 · 768 · 800 · 960 · 1000 · 1200 · 1250 · 1280 · 1500 · 1600 · 1875 · 1920 · 2000 · 2400 · 2500 · 3000 · 3200 · 3750 · 3840 · 4000 · 4800 · 5000 · 6000 · 6400 · 7500 · 8000 · 9600 · 10000 · 12000 · 15000 · 16000 · 19200 · 20000 · 24000 · 30000 · 32000 · 40000 · 48000 · 60000 · 80000 · 96000 · 120000 · 160000 · 240000 (half) · 480000

Aliquot sum (sum of proper divisors): 1,116,364

Factor pairs (a × b = 480,000)

1 × 480000

2 × 240000

3 × 160000

4 × 120000

5 × 96000

6 × 80000

8 × 60000

10 × 48000

12 × 40000

15 × 32000

16 × 30000

20 × 24000

24 × 20000

25 × 19200

30 × 16000

32 × 15000

40 × 12000

48 × 10000

50 × 9600

60 × 8000

64 × 7500

75 × 6400

80 × 6000

96 × 5000

100 × 4800

120 × 4000

125 × 3840

128 × 3750

150 × 3200

160 × 3000

192 × 2500

200 × 2400

240 × 2000

250 × 1920

256 × 1875

300 × 1600

320 × 1500

375 × 1280

384 × 1250

400 × 1200

480 × 1000

500 × 960

600 × 800

625 × 768

640 × 750

First multiples

480,000 · 960,000 (double) · 1,440,000 · 1,920,000 · 2,400,000 · 2,880,000 · 3,360,000 · 3,840,000 · 4,320,000 · 4,800,000

Sums & aliquot sequence

As consecutive integers: 159,999 + 160,000 + 160,001 95,998 + 95,999 + 96,000 + 96,001 + 96,002 31,993 + 31,994 + … + 32,007 19,188 + 19,189 + … + 19,212

Aliquot sequence: 480,000 → 1,116,364 → 1,000,996 → 843,084 → 1,482,876 → 2,487,636 → 3,950,796 → 5,267,756 → 5,527,924 → 4,715,120 → 6,895,744 → 7,654,556 → 9,816,100 → 15,251,740 → 22,669,220 → 31,737,244 → 37,508,324 — unresolved within range

Continued fraction of √n

√480,000 = [692; (1, 4, 1, 1, 3, 3, 5, 2, 35, 13, 1, 4, 1, 4, 1, 1, 2, 1, 1, 2, 1, 7, 2, 10, …)]

Representations

In words: four hundred eighty thousand
Ordinal: 480000th
Binary: 1110101001100000000
Octal: 1651400
Hexadecimal: 0x75300
Base64: B1MA
One's complement: 4,294,487,295 (32-bit)
Scientific notation: 4.8 × 10⁵
As a duration: 480,000 s = 5 days, 13 hours, 20 minutes

In other bases

ternary (3) 220101102210

quaternary (4) 1311030000

quinary (5) 110330000

senary (6) 14142120

septenary (7) 4036263

nonary (9) 811383

undecimal (11) 2a86a4

duodecimal (12) 1b1940

tridecimal (13) 13a631

tetradecimal (14) c6cda

pentadecimal (15) 97350

As an angle

480,000° = 1,333 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍
Greek (Milesian): ͵υπ
Chinese: 四十八萬
Chinese (financial): 肆拾捌萬

In other modern scripts

Eastern Arabic ٤٨٠٠٠٠ Devanagari ४८०००० Bengali ৪৮০০০০ Tamil ௪௮௦௦௦௦ Thai ๔๘๐๐๐๐ Tibetan ༤༨༠༠༠༠ Khmer ៤៨០០០០ Lao ໔໘໐໐໐໐ Burmese ၄၈၀၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 480000, here are decompositions:

29 + 479971 = 480000
43 + 479957 = 480000
47 + 479953 = 480000
61 + 479939 = 480000
97 + 479903 = 480000
109 + 479891 = 480000
139 + 479861 = 480000
167 + 479833 = 480000

Showing the first eight; more decompositions exist.

Hex color

#075300

RGB(7, 83, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.83.0.

Address: 0.7.83.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.83.0

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 480,000 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US480,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 480000 first appears in π at position 880,831 of the decimal expansion (the 880,831ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 480000 on Pi Search ↗