# 448

## 448 is an even composite number composed of two prime numbers multiplied together.

What does the number 448 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 14 divisors.

448 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of fourteen divisors.

## Prime factorization of 448:

### 26 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 7)

See below for interesting mathematical facts about the number 448 from the Numbermatics database.

### Names of 448

• Cardinal: 448 can be written as Four hundred forty-eight.

### Scientific notation

• Scientific notation: 4.48 × 102

### Factors of 448

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 9

### Divisors of 448

• Number of divisors d(n): 14
• Complete list of divisors:
• Sum of all divisors σ(n): 1016
• Sum of proper divisors (its aliquot sum) s(n): 568
• 448 is an abundant number, because the sum of its proper divisors (568) is greater than itself. Its abundance is 120

### Bases of 448

• Binary: 1110000002
• Base-36: CG

### Squares and roots of 448

• 448 squared (4482) is 200704
• 448 cubed (4483) is 89915392
• The square root of 448 is 21.1660104885
• The cube root of 448 is 7.6517247311

### Scales and comparisons

How big is 448?
• 448 seconds is equal to 7 minutes, 28 seconds.
• To count from 1 to 448 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 448 cubic inches would be around 0.6 feet tall.

### Recreational maths with 448

• 448 backwards is 844
• 448 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 448's digits is 16
• More coming soon!