468840

468,840 is an even composite number composed of four prime numbers multiplied together.

What does the number 468840 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

468840 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 468840:

2³ × 3 × 5 × 3907

(2 × 2 × 2 × 3 × 5 × 3907)

See below for interesting mathematical facts about the number 468840 from the Numbermatics database.

Names of 468840

Cardinal: 468840 can be written as Four hundred sixty-eight thousand, eight hundred forty.

Scientific notation

Scientific notation: 4.6884 × 10⁵

Factors of 468840

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 3917

Divisors of 468840

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3907 7814 11721 15628 19535 23442 31256 39070 46884 58605 78140 93768 117210 156280 234420 468840
Sum of all divisors σ(n): 1406880
Sum of proper divisors (its aliquot sum) s(n): 938040
468840 is an abundant number, because the sum of its proper divisors (938040) is greater than itself. Its abundance is 469200

Bases of 468840

Binary: 1110010011101101000₂
Hexadecimal: 0x72768
Base-36: A1RC

Squares and roots of 468840

468840 squared (468840²) is 219810945600
468840 cubed (468840³) is 103056163735104000
The square root of 468840 is 684.7189204337
The cube root of 468840 is 77.6857839027

Scales and comparisons

How big is 468840?

468,840 seconds is equal to 5 days, 10 hours, 14 minutes.
To count from 1 to 468,840 would take you about five days.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
A cube with a volume of 468840 cubic inches would be around 6.5 feet tall.

Recreational maths with 468840

468840 backwards is 048864
468840 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 468840's digits is 30
More coming soon!

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The information we have on file for 468840 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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