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460,404

460,404 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.).

460,404 (four hundred sixty thousand four hundred four) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2² × 3⁴ × 7² × 29. Its proper divisors sum to 987,966, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70674.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
404,064
Square (n²)
211,971,843,216
Cube (n³)
97,592,684,504,019,264
Divisor count
90
σ(n) — sum of divisors
1,448,370
φ(n) — Euler's totient
127,008
Sum of prime factors
59

Primality

Prime factorization: 2 2 × 3 4 × 7 2 × 29

Nearest primes: 460,403 (−1) · 460,409 (+5)

Divisors & multiples

All divisors (90)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 27 · 28 · 29 · 36 · 42 · 49 · 54 · 58 · 63 · 81 · 84 · 87 · 98 · 108 · 116 · 126 · 147 · 162 · 174 · 189 · 196 · 203 · 252 · 261 · 294 · 324 · 348 · 378 · 406 · 441 · 522 · 567 · 588 · 609 · 756 · 783 · 812 · 882 · 1044 · 1134 · 1218 · 1323 · 1421 · 1566 · 1764 · 1827 · 2268 · 2349 · 2436 · 2646 · 2842 · 3132 · 3654 · 3969 · 4263 · 4698 · 5292 · 5481 · 5684 · 7308 · 7938 · 8526 · 9396 · 10962 · 12789 · 15876 · 16443 · 17052 · 21924 · 25578 · 32886 · 38367 · 51156 · 65772 · 76734 · 115101 · 153468 · 230202 (half) · 460404
Aliquot sum (sum of proper divisors): 987,966
Factor pairs (a × b = 460,404)
1 × 460404
2 × 230202
3 × 153468
4 × 115101
6 × 76734
7 × 65772
9 × 51156
12 × 38367
14 × 32886
18 × 25578
21 × 21924
27 × 17052
28 × 16443
29 × 15876
36 × 12789
42 × 10962
49 × 9396
54 × 8526
58 × 7938
63 × 7308
81 × 5684
84 × 5481
87 × 5292
98 × 4698
108 × 4263
116 × 3969
126 × 3654
147 × 3132
162 × 2842
174 × 2646
189 × 2436
196 × 2349
203 × 2268
252 × 1827
261 × 1764
294 × 1566
324 × 1421
348 × 1323
378 × 1218
406 × 1134
441 × 1044
522 × 882
567 × 812
588 × 783
609 × 756
First multiples
460,404 · 920,808 (double) · 1,381,212 · 1,841,616 · 2,302,020 · 2,762,424 · 3,222,828 · 3,683,232 · 4,143,636 · 4,604,040

Sums & aliquot sequence

As a sum of two squares: 252² + 630²
As consecutive integers: 153,467 + 153,468 + 153,469 65,769 + 65,770 + … + 65,775 57,547 + 57,548 + … + 57,554 51,152 + 51,153 + … + 51,160
Aliquot sequence: 460,404 → 987,966 → 1,458,738 → 1,701,900 → 3,894,964 → 3,233,612 → 2,438,404 → 1,828,810 → 1,483,190 → 1,225,450 → 1,053,980 → 1,180,420 → 1,298,504 → 1,236,106 → 618,056 → 591,544 → 517,616 — unresolved within range

Continued fraction of √n

√460,404 = [678; (1, 1, 7, 1, 1, 1, 2, 16, 2, 1, 1, 1, 7, 1, 1, 1356)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty thousand four hundred four
Ordinal
460404th
Binary
1110000011001110100
Octal
1603164
Hexadecimal
0x70674
Base64
BwZ0
One's complement
4,294,506,891 (32-bit)
Scientific notation
4.60404 × 10⁵
As a duration
460,404 s = 5 days, 7 hours, 53 minutes, 24 seconds
In other bases
ternary (3) 212101120000
quaternary (4) 1300121310
quinary (5) 104213104
senary (6) 13511300
septenary (7) 3625200
nonary (9) 771500
undecimal (11) 2949aa
duodecimal (12) 1a2530
tridecimal (13) 131739
tetradecimal (14) bdb00
pentadecimal (15) 91639

As an angle

460,404° = 1,278 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξυδʹ
Chinese
四十六萬零四百零四
Chinese (financial)
肆拾陸萬零肆佰零肆
In other modern scripts
Eastern Arabic ٤٦٠٤٠٤ Devanagari ४६०४०४ Bengali ৪৬০৪০৪ Tamil ௪௬௦௪௦௪ Thai ๔๖๐๔๐๔ Tibetan ༤༦༠༤༠༤ Khmer ៤៦០៤០៤ Lao ໔໖໐໔໐໔ Burmese ၄၆၀၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 460404, here are decompositions:

  • 11 + 460393 = 460404
  • 17 + 460387 = 460404
  • 31 + 460373 = 460404
  • 67 + 460337 = 460404
  • 103 + 460301 = 460404
  • 107 + 460297 = 460404
  • 137 + 460267 = 460404
  • 157 + 460247 = 460404

Showing the first eight; more decompositions exist.

Hex color
#070674
RGB(7, 6, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.6.116.

Address
0.7.6.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.6.116

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 460,404 and was likely granted around 1891.

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°.