Live analysis

464,000

464,000 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.).

464,000 (four hundred sixty-four thousand) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 5³ × 29. Its proper divisors sum to 729,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71480.

Abundant Number Evil Number Gapful Number Happy Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

463,988 463,989 463,990 463,991 463,992 463,993 463,994 463,995 463,996 463,997 463,998 463,999 464,000 464,001 464,002 464,003 464,004 464,005 464,006 464,007 464,008 464,009 464,010 464,011 464,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 19 bits
Reversed: 464
Square (n²): 215,296,000,000
Cube (n³): 99,897,344,000,000,000
Divisor count: 64
σ(n) — sum of divisors: 1,193,400
φ(n) — Euler's totient: 179,200
Sum of prime factors: 58

Primality

Prime factorization: 2 ⁷ × 5 ³ × 29

Nearest primes: 463,993 (−7) · 464,003 (+3)

Divisors & multiples

All divisors (64)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 29 · 32 · 40 · 50 · 58 · 64 · 80 · 100 · 116 · 125 · 128 · 145 · 160 · 200 · 232 · 250 · 290 · 320 · 400 · 464 · 500 · 580 · 640 · 725 · 800 · 928 · 1000 · 1160 · 1450 · 1600 · 1856 · 2000 · 2320 · 2900 · 3200 · 3625 · 3712 · 4000 · 4640 · 5800 · 7250 · 8000 · 9280 · 11600 · 14500 · 16000 · 18560 · 23200 · 29000 · 46400 · 58000 · 92800 · 116000 · 232000 (half) · 464000

Aliquot sum (sum of proper divisors): 729,400

Factor pairs (a × b = 464,000)

1 × 464000

2 × 232000

4 × 116000

5 × 92800

8 × 58000

10 × 46400

16 × 29000

20 × 23200

25 × 18560

29 × 16000

32 × 14500

40 × 11600

50 × 9280

58 × 8000

64 × 7250

80 × 5800

100 × 4640

116 × 4000

125 × 3712

128 × 3625

145 × 3200

160 × 2900

200 × 2320

232 × 2000

250 × 1856

290 × 1600

320 × 1450

400 × 1160

464 × 1000

500 × 928

580 × 800

640 × 725

First multiples

464,000 · 928,000 (double) · 1,392,000 · 1,856,000 · 2,320,000 · 2,784,000 · 3,248,000 · 3,712,000 · 4,176,000 · 4,640,000

Sums & aliquot sequence

As a sum of two squares: 40² + 680² = 152² + 664² = 376² + 568² = 440² + 520²

As consecutive integers: 92,798 + 92,799 + 92,800 + 92,801 + 92,802 18,548 + 18,549 + … + 18,572 15,986 + 15,987 + … + 16,014 3,650 + 3,651 + … + 3,774

Aliquot sequence: 464,000 → 729,400 → 1,212,440 → 1,677,640 → 2,097,140 → 2,644,492 → 2,005,188 → 2,673,612 → 4,380,708 → 5,972,572 → 4,702,148 → 4,274,764 → 3,781,620 → 8,314,380 → 17,994,420 → 39,259,980 → 79,829,172 — unresolved within range

Continued fraction of √n

√464,000 = [681; (5, 1, 2, 3, 18, 1, 8, 13, 1, 1, 20, 1, 3, 3, 6, 1, 1, 5, 1, 53, 1, 1, 1, 4, …)]

Representations

In words: four hundred sixty-four thousand
Ordinal: 464000th
Binary: 1110001010010000000
Octal: 1612200
Hexadecimal: 0x71480
Base64: BxSA
One's complement: 4,294,503,295 (32-bit)
Scientific notation: 4.64 × 10⁵
As a duration: 464,000 s = 5 days, 8 hours, 53 minutes, 20 seconds

In other bases

ternary (3) 212120111012

quaternary (4) 1301102000

quinary (5) 104322000

senary (6) 13540052

septenary (7) 3641525

nonary (9) 776435

undecimal (11) 297679

duodecimal (12) 1a4628

tridecimal (13) 133274

tetradecimal (14) c114c

pentadecimal (15) 92735

As an angle

464,000° = 1,288 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼
Greek (Milesian): ͵υξδ
Chinese: 四十六萬四千
Chinese (financial): 肆拾陸萬肆仟

In other modern scripts

Eastern Arabic ٤٦٤٠٠٠ Devanagari ४६४००० Bengali ৪৬৪০০০ Tamil ௪௬௪௦௦௦ Thai ๔๖๔๐๐๐ Tibetan ༤༦༤༠༠༠ Khmer ៤៦៤០០០ Lao ໔໖໔໐໐໐ Burmese ၄၆၄၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464000, here are decompositions:

7 + 463993 = 464000
13 + 463987 = 464000
37 + 463963 = 464000
79 + 463921 = 464000
109 + 463891 = 464000
127 + 463873 = 464000
139 + 463861 = 464000
151 + 463849 = 464000

Showing the first eight; more decompositions exist.

Hex color

#071480

RGB(7, 20, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.20.128.

Address: 0.7.20.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.20.128

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 464,000 and was likely granted around 1891.

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

Look up US464,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 464000 first appears in π at position 701,024 of the decimal expansion (the 701,024ordinal-suffix:th 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 464000 on Pi Search ↗