# 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:
• 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
• 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!