# 462

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

What does the number 462 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

462 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 462:

### 2 × 3 × 7 × 11

See below for interesting mathematical facts about the number 462 from the Numbermatics database.

### Names of 462

• Cardinal: 462 can be written as Four hundred sixty-two.

### Scientific notation

• Scientific notation: 4.62 × 102

### Factors of 462

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 23

### Divisors of 462

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 1152
• Sum of proper divisors (its aliquot sum) s(n): 690
• 462 is an abundant number, because the sum of its proper divisors (690) is greater than itself. Its abundance is 228

### Bases of 462

• Binary: 1110011102
• Base-36: CU

### Squares and roots of 462

• 462 squared (4622) is 213444
• 462 cubed (4623) is 98611128
• The square root of 462 is 21.4941852603
• The cube root of 462 is 7.7306140525

### Scales and comparisons

How big is 462?
• 462 seconds is equal to 7 minutes, 42 seconds.
• To count from 1 to 462 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 462 cubic inches would be around 0.6 feet tall.

### Recreational maths with 462

• 462 backwards is 264
• The number of decimal digits it has is: 3
• The sum of 462's digits is 12
• More coming soon!