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466,480

466,480 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.).

466,480 (four hundred sixty-six thousand four hundred eighty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5 × 7³ × 17. Its proper divisors sum to 872,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71E30.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
84,664
Square (n²)
217,603,590,400
Cube (n³)
101,507,722,849,792,000
Divisor count
80
σ(n) — sum of divisors
1,339,200
φ(n) — Euler's totient
150,528
Sum of prime factors
51

Primality

Prime factorization: 2 4 × 5 × 7 3 × 17

Nearest primes: 466,451 (−29) · 466,483 (+3)

Divisors & multiples

All divisors (80)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 17 · 20 · 28 · 34 · 35 · 40 · 49 · 56 · 68 · 70 · 80 · 85 · 98 · 112 · 119 · 136 · 140 · 170 · 196 · 238 · 245 · 272 · 280 · 340 · 343 · 392 · 476 · 490 · 560 · 595 · 680 · 686 · 784 · 833 · 952 · 980 · 1190 · 1360 · 1372 · 1666 · 1715 · 1904 · 1960 · 2380 · 2744 · 3332 · 3430 · 3920 · 4165 · 4760 · 5488 · 5831 · 6664 · 6860 · 8330 · 9520 · 11662 · 13328 · 13720 · 16660 · 23324 · 27440 · 29155 · 33320 · 46648 · 58310 · 66640 · 93296 · 116620 · 233240 (half) · 466480
Aliquot sum (sum of proper divisors): 872,720
Factor pairs (a × b = 466,480)
1 × 466480
2 × 233240
4 × 116620
5 × 93296
7 × 66640
8 × 58310
10 × 46648
14 × 33320
16 × 29155
17 × 27440
20 × 23324
28 × 16660
34 × 13720
35 × 13328
40 × 11662
49 × 9520
56 × 8330
68 × 6860
70 × 6664
80 × 5831
85 × 5488
98 × 4760
112 × 4165
119 × 3920
136 × 3430
140 × 3332
170 × 2744
196 × 2380
238 × 1960
245 × 1904
272 × 1715
280 × 1666
340 × 1372
343 × 1360
392 × 1190
476 × 980
490 × 952
560 × 833
595 × 784
680 × 686
First multiples
466,480 · 932,960 (double) · 1,399,440 · 1,865,920 · 2,332,400 · 2,798,880 · 3,265,360 · 3,731,840 · 4,198,320 · 4,664,800

Sums & aliquot sequence

As consecutive integers: 93,294 + 93,295 + 93,296 + 93,297 + 93,298 66,637 + 66,638 + … + 66,643 27,432 + 27,433 + … + 27,448 14,562 + 14,563 + … + 14,593
Aliquot sequence: 466,480 → 872,720 → 1,156,540 → 1,875,524 → 1,954,876 → 2,350,068 → 4,001,676 → 6,669,684 → 14,078,316 → 25,444,244 → 25,444,300 → 38,329,396 → 38,329,452 → 73,709,748 → 140,077,644 → 236,914,356 → 396,984,140 — unresolved within range

Continued fraction of √n

√466,480 = [682; (1, 150, 1, 3, 2, 16, 2, 2, 1, 1, 1, 1, 2, 1, 2, 27, 1, 1, 24, 3, 17, 1, 1, 1, …)]

Representations

In words
four hundred sixty-six thousand four hundred eighty
Ordinal
466480th
Binary
1110001111000110000
Octal
1617060
Hexadecimal
0x71E30
Base64
Bx4w
One's complement
4,294,500,815 (32-bit)
Scientific notation
4.6648 × 10⁵
As a duration
466,480 s = 5 days, 9 hours, 34 minutes, 40 seconds
In other bases
ternary (3) 212200220001
quaternary (4) 1301320300
quinary (5) 104411410
senary (6) 13555344
septenary (7) 3652000
nonary (9) 780801
undecimal (11) 299523
duodecimal (12) 1a5b54
tridecimal (13) 134431
tetradecimal (14) c2000
pentadecimal (15) 9333a
Palindromic in base 13

As an angle

466,480° = 1,295 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υξϛυπʹ
Chinese
四十六萬六千四百八十
Chinese (financial)
肆拾陸萬陸仟肆佰捌拾
In other modern scripts
Eastern Arabic ٤٦٦٤٨٠ Devanagari ४६६४८० Bengali ৪৬৬৪৮০ Tamil ௪௬௬௪௮௦ Thai ๔๖๖๔๘๐ Tibetan ༤༦༦༤༨༠ Khmer ៤៦៦៤៨០ Lao ໔໖໖໔໘໐ Burmese ၄၆၆၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 466480, here are decompositions:

  • 29 + 466451 = 466480
  • 71 + 466409 = 466480
  • 107 + 466373 = 466480
  • 149 + 466331 = 466480
  • 197 + 466283 = 466480
  • 233 + 466247 = 466480
  • 359 + 466121 = 466480
  • 389 + 466091 = 466480

Showing the first eight; more decompositions exist.

Hex color
#071E30
RGB(7, 30, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.30.48.

Address
0.7.30.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.30.48

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 466,480 and was likely granted around 1891.

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

Position in π

The digit sequence 466480 first appears in π at position 229,199 of the decimal expansion (the 229,199ordinal-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.

Related reading

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