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474,440

474,440 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.).

474,440 (four hundred seventy-four thousand four hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 29 × 409. Its proper divisors sum to 632,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73D48.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
44,474
Square (n²)
225,093,313,600
Cube (n³)
106,793,271,704,384,000
Divisor count
32
σ(n) — sum of divisors
1,107,000
φ(n) — Euler's totient
182,784
Sum of prime factors
449

Primality

Prime factorization: 2 3 × 5 × 29 × 409

Nearest primes: 474,437 (−3) · 474,443 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 29 · 40 · 58 · 116 · 145 · 232 · 290 · 409 · 580 · 818 · 1160 · 1636 · 2045 · 3272 · 4090 · 8180 · 11861 · 16360 · 23722 · 47444 · 59305 · 94888 · 118610 · 237220 (half) · 474440
Aliquot sum (sum of proper divisors): 632,560
Factor pairs (a × b = 474,440)
1 × 474440
2 × 237220
4 × 118610
5 × 94888
8 × 59305
10 × 47444
20 × 23722
29 × 16360
40 × 11861
58 × 8180
116 × 4090
145 × 3272
232 × 2045
290 × 1636
409 × 1160
580 × 818
First multiples
474,440 · 948,880 (double) · 1,423,320 · 1,897,760 · 2,372,200 · 2,846,640 · 3,321,080 · 3,795,520 · 4,269,960 · 4,744,400

Sums & aliquot sequence

As a sum of two squares: 62² + 686² = 142² + 674² = 362² + 586² = 454² + 518²
As consecutive integers: 94,886 + 94,887 + 94,888 + 94,889 + 94,890 29,645 + 29,646 + … + 29,660 16,346 + 16,347 + … + 16,374 5,891 + 5,892 + … + 5,970
Aliquot sequence: 474,440 632,560 838,328 770,752 758,836 671,376 1,096,368 2,403,408 5,024,688 7,955,880 16,115,160 32,230,680 64,869,960 141,194,040 330,852,360 663,283,320 1,610,833,800 — unresolved within range

Continued fraction of √n

√474,440 = [688; (1, 3, 1, 9, 3, 27, 1, 3, 1, 4, 19, 5, 6, 1, 4, 1, 9, 3, 2, 1, 343, 1, 2, 3, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-four thousand four hundred forty
Ordinal
474440th
Binary
1110011110101001000
Octal
1636510
Hexadecimal
0x73D48
Base64
Bz1I
One's complement
4,294,492,855 (32-bit)
Scientific notation
4.7444 × 10⁵
As a duration
474,440 s = 5 days, 11 hours, 47 minutes, 20 seconds
In other bases
ternary (3) 220002210212
quaternary (4) 1303311020
quinary (5) 110140230
senary (6) 14100252
septenary (7) 4014131
nonary (9) 802725
undecimal (11) 2a44aa
duodecimal (12) 1aa688
tridecimal (13) 137c45
tetradecimal (14) c4c88
pentadecimal (15) 95895

As an angle

474,440° = 1,317 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοδυμʹ
Chinese
四十七萬四千四百四十
Chinese (financial)
肆拾柒萬肆仟肆佰肆拾
In other modern scripts
Eastern Arabic ٤٧٤٤٤٠ Devanagari ४७४४४० Bengali ৪৭৪৪৪০ Tamil ௪௭௪௪௪௦ Thai ๔๗๔๔๔๐ Tibetan ༤༧༤༤༤༠ Khmer ៤៧៤៤៤០ Lao ໔໗໔໔໔໐ Burmese ၄၇၄၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474440, here are decompositions:

  • 3 + 474437 = 474440
  • 7 + 474433 = 474440
  • 61 + 474379 = 474440
  • 97 + 474343 = 474440
  • 103 + 474337 = 474440
  • 151 + 474289 = 474440
  • 199 + 474241 = 474440
  • 229 + 474211 = 474440

Showing the first eight; more decompositions exist.

Hex color
#073D48
RGB(7, 61, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.61.72.

Address
0.7.61.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.61.72

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 474,440 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°.