Live analysis

490,400

490,400 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.).

490,400 (four hundred ninety thousand four hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 5² × 613. Its proper divisors sum to 708,742, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77BA0.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

490,388 490,389 490,390 490,391 490,392 490,393 490,394 490,395 490,396 490,397 490,398 490,399 490,400 490,401 490,402 490,403 490,404 490,405 490,406 490,407 490,408 490,409 490,410 490,411 490,412

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 19 bits
Reversed: 4,094
Square (n²): 240,492,160,000
Cube (n³): 117,937,355,264,000,000
Divisor count: 36
σ(n) — sum of divisors: 1,199,142
φ(n) — Euler's totient: 195,840
Sum of prime factors: 633

Primality

Prime factorization: 2 ⁵ × 5 ² × 613

Nearest primes: 490,393 (−7) · 490,417 (+17)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 80 · 100 · 160 · 200 · 400 · 613 · 800 · 1226 · 2452 · 3065 · 4904 · 6130 · 9808 · 12260 · 15325 · 19616 · 24520 · 30650 · 49040 · 61300 · 98080 · 122600 · 245200 (half) · 490400

Aliquot sum (sum of proper divisors): 708,742

Factor pairs (a × b = 490,400)

1 × 490400

2 × 245200

4 × 122600

5 × 98080

8 × 61300

10 × 49040

16 × 30650

20 × 24520

25 × 19616

32 × 15325

40 × 12260

50 × 9808

80 × 6130

100 × 4904

160 × 3065

200 × 2452

400 × 1226

613 × 800

First multiples

490,400 · 980,800 (double) · 1,471,200 · 1,961,600 · 2,452,000 · 2,942,400 · 3,432,800 · 3,923,200 · 4,413,600 · 4,904,000

Sums & aliquot sequence

As a sum of two squares: 20² + 700² = 404² + 572² = 436² + 548²

As consecutive integers: 98,078 + 98,079 + 98,080 + 98,081 + 98,082 19,604 + 19,605 + … + 19,628 7,631 + 7,632 + … + 7,694 1,373 + 1,374 + … + 1,692

Aliquot sequence: 490,400 → 708,742 → 354,374 → 180,874 → 90,440 → 168,760 → 211,040 → 287,920 → 404,000 → 598,456 → 531,944 → 699,256 → 611,864 → 716,536 → 626,984 → 557,836 → 418,384 — unresolved within range

Continued fraction of √n

√490,400 = [700; (3, 1, 1, 349, 1, 1, 3, 1400)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: four hundred ninety thousand four hundred
Ordinal: 490400th
Binary: 1110111101110100000
Octal: 1675640
Hexadecimal: 0x77BA0
Base64: B3ug
One's complement: 4,294,476,895 (32-bit)
Scientific notation: 4.904 × 10⁵
As a duration: 490,400 s = 5 days, 16 hours, 13 minutes, 20 seconds

In other bases

ternary (3) 220220200222

quaternary (4) 1313232200

quinary (5) 111143100

senary (6) 14302212

septenary (7) 4111511

nonary (9) 826628

undecimal (11) 305499

duodecimal (12) 1b7968

tridecimal (13) 1422a1

tetradecimal (14) caa08

pentadecimal (15) 9a485

Palindromic in base 9

As an angle

490,400° = 1,362 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢
Greek (Milesian): ͵υϟυʹ
Chinese: 四十九萬零四百
Chinese (financial): 肆拾玖萬零肆佰

In other modern scripts

Eastern Arabic ٤٩٠٤٠٠ Devanagari ४९०४०० Bengali ৪৯০৪০০ Tamil ௪௯௦௪௦௦ Thai ๔๙๐๔๐๐ Tibetan ༤༩༠༤༠༠ Khmer ៤៩០៤០០ Lao ໔໙໐໔໐໐ Burmese ၄၉၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490400, here are decompositions:

7 + 490393 = 490400
61 + 490339 = 490400
151 + 490249 = 490400
193 + 490207 = 490400
199 + 490201 = 490400
241 + 490159 = 490400
283 + 490117 = 490400
367 + 490033 = 490400

Showing the first eight; more decompositions exist.

Hex color

#077BA0

RGB(7, 123, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.123.160.

Address: 0.7.123.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.123.160

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 490,400 and was likely granted around 1892.

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

Look up US490,400 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 490400 first appears in π at position 799,388 of the decimal expansion (the 799,388ordinal-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.

Look up 490400 on Pi Search ↗