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484,400

484,400 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.).

484,400 (four hundred eighty-four thousand four hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 7 × 173. Its proper divisors sum to 853,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x76430.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
4,484
Square (n²)
234,643,360,000
Cube (n³)
113,661,243,584,000,000
Divisor count
60
σ(n) — sum of divisors
1,337,712
φ(n) — Euler's totient
165,120
Sum of prime factors
198

Primality

Prime factorization: 2 4 × 5 2 × 7 × 173

Nearest primes: 484,397 (−3) · 484,411 (+11)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 35 · 40 · 50 · 56 · 70 · 80 · 100 · 112 · 140 · 173 · 175 · 200 · 280 · 346 · 350 · 400 · 560 · 692 · 700 · 865 · 1211 · 1384 · 1400 · 1730 · 2422 · 2768 · 2800 · 3460 · 4325 · 4844 · 6055 · 6920 · 8650 · 9688 · 12110 · 13840 · 17300 · 19376 · 24220 · 30275 · 34600 · 48440 · 60550 · 69200 · 96880 · 121100 · 242200 (half) · 484400
Aliquot sum (sum of proper divisors): 853,312
Factor pairs (a × b = 484,400)
1 × 484400
2 × 242200
4 × 121100
5 × 96880
7 × 69200
8 × 60550
10 × 48440
14 × 34600
16 × 30275
20 × 24220
25 × 19376
28 × 17300
35 × 13840
40 × 12110
50 × 9688
56 × 8650
70 × 6920
80 × 6055
100 × 4844
112 × 4325
140 × 3460
173 × 2800
175 × 2768
200 × 2422
280 × 1730
346 × 1400
350 × 1384
400 × 1211
560 × 865
692 × 700
First multiples
484,400 · 968,800 (double) · 1,453,200 · 1,937,600 · 2,422,000 · 2,906,400 · 3,390,800 · 3,875,200 · 4,359,600 · 4,844,000

Sums & aliquot sequence

As consecutive integers: 96,878 + 96,879 + 96,880 + 96,881 + 96,882 69,197 + 69,198 + … + 69,203 19,364 + 19,365 + … + 19,388 15,122 + 15,123 + … + 15,153
Aliquot sequence: 484,400 853,312 873,888 1,420,320 3,478,560 7,480,416 12,465,888 20,257,320 40,867,800 85,824,240 181,125,936 366,160,464 677,936,772 1,036,970,604 1,584,260,736 3,214,308,864 6,599,469,264 — unresolved within range

Continued fraction of √n

√484,400 = [695; (1, 85, 1, 1390)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
four hundred eighty-four thousand four hundred
Ordinal
484400th
Binary
1110110010000110000
Octal
1662060
Hexadecimal
0x76430
Base64
B2Qw
One's complement
4,294,482,895 (32-bit)
Scientific notation
4.844 × 10⁵
As a duration
484,400 s = 5 days, 14 hours, 33 minutes, 20 seconds
In other bases
ternary (3) 220121110202
quaternary (4) 1312100300
quinary (5) 111000100
senary (6) 14214332
septenary (7) 4055150
nonary (9) 817422
undecimal (11) 300a34
duodecimal (12) 1b43a8
tridecimal (13) 13c637
tetradecimal (14) c8760
pentadecimal (15) 987d5

As an angle

484,400° = 1,345 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵υπδυʹ
Chinese
四十八萬四千四百
Chinese (financial)
肆拾捌萬肆仟肆佰
In other modern scripts
Eastern Arabic ٤٨٤٤٠٠ Devanagari ४८४४०० Bengali ৪৮৪৪০০ Tamil ௪௮௪௪௦௦ Thai ๔๘๔๔๐๐ Tibetan ༤༨༤༤༠༠ Khmer ៤៨៤៤០០ Lao ໔໘໔໔໐໐ Burmese ၄၈၄၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 484400, here are decompositions:

  • 3 + 484397 = 484400
  • 31 + 484369 = 484400
  • 61 + 484339 = 484400
  • 73 + 484327 = 484400
  • 97 + 484303 = 484400
  • 157 + 484243 = 484400
  • 193 + 484207 = 484400
  • 199 + 484201 = 484400

Showing the first eight; more decompositions exist.

Hex color
#076430
RGB(7, 100, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.100.48.

Address
0.7.100.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.100.48

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 484,400 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°.