# 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
• Hexadecimal: 0x1D4
• 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!

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The information we have on file for 468 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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