# 457920

## 457,920 is an even composite number composed of four prime numbers multiplied together.

What does the number 457920 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 112 divisors.

457920 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.

## Prime factorization of 457920:

### 26 × 33 × 5 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 53)

See below for interesting mathematical facts about the number 457920 from the Numbermatics database.

### Names of 457920

• Cardinal: 457920 can be written as Four hundred fifty-seven thousand, nine hundred twenty.

### Scientific notation

• Scientific notation: 4.5792 × 105

### Factors of 457920

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 63

### Divisors of 457920

• Number of divisors d(n): 112
• Complete list of divisors:
• Sum of all divisors σ(n): 1645920
• Sum of proper divisors (its aliquot sum) s(n): 1188000
• 457920 is an abundant number, because the sum of its proper divisors (1188000) is greater than itself. Its abundance is 730080

### Bases of 457920

• Binary: 11011111100110000002
• Base-36: 9TC0

### Squares and roots of 457920

• 457920 squared (4579202) is 209690726400
• 457920 cubed (4579203) is 96021577433088000
• The square root of 457920 is 676.6978646339
• The cube root of 457920 is 77.0778994627

### Scales and comparisons

How big is 457920?
• 457,920 seconds is equal to 5 days, 7 hours, 12 minutes.
• To count from 1 to 457,920 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 457920 cubic inches would be around 6.4 feet tall.

### Recreational maths with 457920

• 457920 backwards is 029754
• 457920 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 457920's digits is 27
• More coming soon!