# 488448

## 488,448 is an even composite number composed of three prime numbers multiplied together.

What does the number 488448 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 66 divisors.

488448 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-six divisors.

## Prime factorization of 488448:

### 210 × 32 × 53

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

See below for interesting mathematical facts about the number 488448 from the Numbermatics database.

### Names of 488448

• Cardinal: 488448 can be written as Four hundred eighty-eight thousand, four hundred forty-eight.

### Scientific notation

• Scientific notation: 4.88448 × 105

### Factors of 488448

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 58

### Divisors of 488448

• Number of divisors d(n): 66
• Complete list of divisors:
• Sum of all divisors σ(n): 1436994
• Sum of proper divisors (its aliquot sum) s(n): 948546
• 488448 is an abundant number, because the sum of its proper divisors (948546) is greater than itself. Its abundance is 460098

### Bases of 488448

• Binary: 11101110100000000002
• Base-36: AGW0

### Squares and roots of 488448

• 488448 squared (4884482) is 238581448704
• 488448 cubed (4884483) is 116534631456571392
• The square root of 488448 is 698.8905493709
• The cube root of 488448 is 78.7540285167

### Scales and comparisons

How big is 488448?
• 488,448 seconds is equal to 5 days, 15 hours, 40 minutes, 48 seconds.
• To count from 1 to 488,448 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 488448 cubic inches would be around 6.6 feet tall.

### Recreational maths with 488448

• 488448 backwards is 844884
• 488448 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 488448's digits is 36
• More coming soon!