# 468096

## 468,096 is an even composite number composed of four prime numbers multiplied together.

What does the number 468096 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 64 divisors.

468096 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty-four divisors.

## Prime factorization of 468096:

### 27 × 3 × 23 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 23 × 53)

See below for interesting mathematical facts about the number 468096 from the Numbermatics database.

### Names of 468096

• Cardinal: 468096 can be written as Four hundred sixty-eight thousand and ninety-six.

### Scientific notation

• Scientific notation: 4.68096 × 105

### Factors of 468096

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 81

### Divisors of 468096

• Number of divisors d(n): 64
• Complete list of divisors:
• Sum of all divisors σ(n): 1321920
• Sum of proper divisors (its aliquot sum) s(n): 853824
• 468096 is an abundant number, because the sum of its proper divisors (853824) is greater than itself. Its abundance is 385728

### Bases of 468096

• Binary: 11100100100100000002
• Base-36: A16O

### Squares and roots of 468096

• 468096 squared (4680962) is 219113865216
• 468096 cubed (4680963) is 102566323852148736
• The square root of 468096 is 684.1754161033
• The cube root of 468096 is 77.6446690779

### Scales and comparisons

How big is 468096?
• 468,096 seconds is equal to 5 days, 10 hours, 36 seconds.
• To count from 1 to 468,096 would take you about five days.

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 468096 cubic inches would be around 6.5 feet tall.

### Recreational maths with 468096

• 468096 backwards is 690864
• The number of decimal digits it has is: 6
• The sum of 468096's digits is 33
• More coming soon!