# 463680

## 463,680 is an even composite number composed of five prime numbers multiplied together.

What does the number 463680 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 168 divisors.

463680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.

## Prime factorization of 463680:

### 26 × 32 × 5 × 7 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 23)

See below for interesting mathematical facts about the number 463680 from the Numbermatics database.

### Names of 463680

• Cardinal: 463680 can be written as Four hundred sixty-three thousand, six hundred eighty.

### Scientific notation

• Scientific notation: 4.6368 × 105

### Factors of 463680

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 40

### Divisors of 463680

• Number of divisors d(n): 168
• Complete list of divisors:
• Sum of all divisors σ(n): 1901952
• Sum of proper divisors (its aliquot sum) s(n): 1438272
• 463680 is an abundant number, because the sum of its proper divisors (1438272) is greater than itself. Its abundance is 974592

### Bases of 463680

• Binary: 11100010011010000002
• Base-36: 9XS0

### Squares and roots of 463680

• 463680 squared (4636802) is 214999142400
• 463680 cubed (4636803) is 99690802348032000
• The square root of 463680 is 680.9405260373
• The cube root of 463680 is 77.3997315857

### Scales and comparisons

How big is 463680?
• 463,680 seconds is equal to 5 days, 8 hours, 48 minutes.
• To count from 1 to 463,680 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 463680 cubic inches would be around 6.4 feet tall.

### Recreational maths with 463680

• 463680 backwards is 086364
• The number of decimal digits it has is: 6
• The sum of 463680's digits is 27
• More coming soon!