420

420 is an even composite number composed of four prime numbers multiplied together.

What does the number 420 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

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

Prime factorization of 420:

2² × 3 × 5 × 7

(2 × 2 × 3 × 5 × 7)

See below for interesting mathematical facts about the number 420 from the Numbermatics database.

Names of 420

Cardinal: 420 can be written as Four hundred twenty.

Scientific notation

Scientific notation: 4.2 × 10²

Factors of 420

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 5
Sum of prime factors: 17

Divisors of 420

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420
Sum of all divisors σ(n): 1344
Sum of proper divisors (its aliquot sum) s(n): 924
420 is an abundant number, because the sum of its proper divisors (924) is greater than itself. Its abundance is 504

Bases of 420

Binary: 110100100₂
Hexadecimal: 0x1A4
Base-36: BO

Squares and roots of 420

420 squared (420²) is 176400
420 cubed (420³) is 74088000
The square root of 420 is 20.4939015319
The cube root of 420 is 7.4888723873

Scales and comparisons

How big is 420?

420 seconds is equal to 7 minutes.
To count from 1 to 420 would take you about three minutes.

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 420 cubic inches would be around 0.6 feet tall.

Recreational maths with 420

420 backwards is 024
420 is a Harshad number.
The number of decimal digits it has is: 3
The sum of 420's digits is 6
More coming soon!

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The information we have on file for 420 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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