# 432

## 432 is an even composite number composed of two prime numbers multiplied together.

What does the number 432 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 20 divisors.

432 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 432:

### 24 × 33

(2 × 2 × 2 × 2 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 432 from the Numbermatics database.

### Names of 432

• Cardinal: 432 can be written as Four hundred thirty-two.

### Scientific notation

• Scientific notation: 4.32 × 102

### Factors of 432

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 5

### Divisors of 432

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 1240
• Sum of proper divisors (its aliquot sum) s(n): 808
• 432 is an abundant number, because the sum of its proper divisors (808) is greater than itself. Its abundance is 376

### Bases of 432

• Binary: 1101100002
• Base-36: C0

### Squares and roots of 432

• 432 squared (4322) is 186624
• 432 cubed (4323) is 80621568
• The square root of 432 is 20.7846096909
• The cube root of 432 is 7.5595262993

### Scales and comparisons

How big is 432?
• 432 seconds is equal to 7 minutes, 12 seconds.
• To count from 1 to 432 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 432 cubic inches would be around 0.6 feet tall.

### Recreational maths with 432

• 432 backwards is 234
• 432 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 432's digits is 9
• More coming soon!