# 460

## 460 is an even composite number composed of three prime numbers multiplied together.

What does the number 460 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

460 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 460:

### 22 × 5 × 23

(2 × 2 × 5 × 23)

See below for interesting mathematical facts about the number 460 from the Numbermatics database.

### Names of 460

• Cardinal: 460 can be written as Four hundred sixty.

### Scientific notation

• Scientific notation: 4.6 × 102

### Factors of 460

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 30

### Divisors of 460

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 1008
• Sum of proper divisors (its aliquot sum) s(n): 548
• 460 is an abundant number, because the sum of its proper divisors (548) is greater than itself. Its abundance is 88

### Bases of 460

• Binary: 1110011002
• Base-36: CS

### Squares and roots of 460

• 460 squared (4602) is 211600
• 460 cubed (4603) is 97336000
• The square root of 460 is 21.4476105895
• The cube root of 460 is 7.7194426293

### Scales and comparisons

How big is 460?
• 460 seconds is equal to 7 minutes, 40 seconds.
• To count from 1 to 460 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 460 cubic inches would be around 0.6 feet tall.

### Recreational maths with 460

• 460 backwards is 064
• 460 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 460's digits is 10
• More coming soon!