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479,400

479,400 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.).

479,400 (four hundred seventy-nine thousand four hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 17 × 47. Its proper divisors sum to 1,127,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x750A8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
4,974
Square (n²)
229,824,360,000
Cube (n³)
110,177,798,184,000,000
Divisor count
96
σ(n) — sum of divisors
1,607,040
φ(n) — Euler's totient
117,760
Sum of prime factors
83

Primality

Prime factorization: 2 3 × 3 × 5 2 × 17 × 47

Nearest primes: 479,387 (−13) · 479,419 (+19)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 17 · 20 · 24 · 25 · 30 · 34 · 40 · 47 · 50 · 51 · 60 · 68 · 75 · 85 · 94 · 100 · 102 · 120 · 136 · 141 · 150 · 170 · 188 · 200 · 204 · 235 · 255 · 282 · 300 · 340 · 376 · 408 · 425 · 470 · 510 · 564 · 600 · 680 · 705 · 799 · 850 · 940 · 1020 · 1128 · 1175 · 1275 · 1410 · 1598 · 1700 · 1880 · 2040 · 2350 · 2397 · 2550 · 2820 · 3196 · 3400 · 3525 · 3995 · 4700 · 4794 · 5100 · 5640 · 6392 · 7050 · 7990 · 9400 · 9588 · 10200 · 11985 · 14100 · 15980 · 19176 · 19975 · 23970 · 28200 · 31960 · 39950 · 47940 · 59925 · 79900 · 95880 · 119850 · 159800 · 239700 (half) · 479400
Aliquot sum (sum of proper divisors): 1,127,640
Factor pairs (a × b = 479,400)
1 × 479400
2 × 239700
3 × 159800
4 × 119850
5 × 95880
6 × 79900
8 × 59925
10 × 47940
12 × 39950
15 × 31960
17 × 28200
20 × 23970
24 × 19975
25 × 19176
30 × 15980
34 × 14100
40 × 11985
47 × 10200
50 × 9588
51 × 9400
60 × 7990
68 × 7050
75 × 6392
85 × 5640
94 × 5100
100 × 4794
102 × 4700
120 × 3995
136 × 3525
141 × 3400
150 × 3196
170 × 2820
188 × 2550
200 × 2397
204 × 2350
235 × 2040
255 × 1880
282 × 1700
300 × 1598
340 × 1410
376 × 1275
408 × 1175
425 × 1128
470 × 1020
510 × 940
564 × 850
600 × 799
680 × 705
First multiples
479,400 · 958,800 (double) · 1,438,200 · 1,917,600 · 2,397,000 · 2,876,400 · 3,355,800 · 3,835,200 · 4,314,600 · 4,794,000

Sums & aliquot sequence

As consecutive integers: 159,799 + 159,800 + 159,801 95,878 + 95,879 + 95,880 + 95,881 + 95,882 31,953 + 31,954 + … + 31,967 29,955 + 29,956 + … + 29,970
Aliquot sequence: 479,400 1,127,640 2,255,640 4,511,640 11,455,080 30,880,920 76,370,280 185,473,560 395,134,440 790,269,240 1,580,538,840 3,367,243,560 7,282,766,040 17,603,544,360 — keeps growing

Continued fraction of √n

√479,400 = [692; (2, 1, 1, 2, 1, 1, 12, 1, 2, 1, 3, 3, 1, 1, 3, 7, 1, 10, 1, 1, 3, 2, 1, 54, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-nine thousand four hundred
Ordinal
479400th
Binary
1110101000010101000
Octal
1650250
Hexadecimal
0x750A8
Base64
B1Co
One's complement
4,294,487,895 (32-bit)
Scientific notation
4.794 × 10⁵
As a duration
479,400 s = 5 days, 13 hours, 10 minutes
In other bases
ternary (3) 220100121120
quaternary (4) 1311002220
quinary (5) 110320100
senary (6) 14135240
septenary (7) 4034445
nonary (9) 810546
undecimal (11) 2a81a9
duodecimal (12) 1b1520
tridecimal (13) 13a28c
tetradecimal (14) c69cc
pentadecimal (15) 970a0

As an angle

479,400° = 1,331 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵υοθυʹ
Chinese
四十七萬九千四百
Chinese (financial)
肆拾柒萬玖仟肆佰
In other modern scripts
Eastern Arabic ٤٧٩٤٠٠ Devanagari ४७९४०० Bengali ৪৭৯৪০০ Tamil ௪௭௯௪௦௦ Thai ๔๗๙๔๐๐ Tibetan ༤༧༩༤༠༠ Khmer ៤៧៩៤០០ Lao ໔໗໙໔໐໐ Burmese ၄၇၉၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 479400, here are decompositions:

  • 13 + 479387 = 479400
  • 23 + 479377 = 479400
  • 29 + 479371 = 479400
  • 43 + 479357 = 479400
  • 73 + 479327 = 479400
  • 83 + 479317 = 479400
  • 101 + 479299 = 479400
  • 113 + 479287 = 479400

Showing the first eight; more decompositions exist.

Hex color
#0750A8
RGB(7, 80, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.80.168.

Address
0.7.80.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.80.168

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 479,400 and was likely granted around 1892.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.