# 468

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

What does the number 468 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

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

## Prime factorization of 468:

### 22 × 32 × 13

(2 × 2 × 3 × 3 × 13)

See below for interesting mathematical facts about the number 468 from the Numbermatics database.

### Names of 468

• Cardinal: 468 can be written as Four hundred sixty-eight.

### Scientific notation

• Scientific notation: 4.68 × 102

### Factors of 468

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 18

### Divisors of 468

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 1274
• Sum of proper divisors (its aliquot sum) s(n): 806
• 468 is an abundant number, because the sum of its proper divisors (806) is greater than itself. Its abundance is 338

### Bases of 468

• Binary: 1110101002
• Base-36: D0

### Squares and roots of 468

• 468 squared (4682) is 219024
• 468 cubed (4683) is 102503232
• The square root of 468 is 21.6333076527
• The cube root of 468 is 7.7639360765

### Scales and comparisons

How big is 468?
• 468 seconds is equal to 7 minutes, 48 seconds.
• To count from 1 to 468 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 468 cubic inches would be around 0.6 feet tall.

### Recreational maths with 468

• 468 backwards is 864
• 468 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 468's digits is 18
• More coming soon!