# 450

## 450 is an even composite number composed of three prime numbers multiplied together.

What does the number 450 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

450 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 450:

### 2 × 32 × 52

(2 × 3 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 450 from the Numbermatics database.

### Names of 450

• Cardinal: 450 can be written as Four hundred fifty.

### Scientific notation

• Scientific notation: 4.5 × 102

### Factors of 450

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 10

### Divisors of 450

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 1209
• Sum of proper divisors (its aliquot sum) s(n): 759
• 450 is an abundant number, because the sum of its proper divisors (759) is greater than itself. Its abundance is 309

### Bases of 450

• Binary: 1110000102
• Base-36: CI

### Squares and roots of 450

• 450 squared (4502) is 202500
• 450 cubed (4503) is 91125000
• The square root of 450 is 21.2132034355
• The cube root of 450 is 7.6630943239

### Scales and comparisons

How big is 450?
• 450 seconds is equal to 7 minutes, 30 seconds.
• To count from 1 to 450 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 450 cubic inches would be around 0.6 feet tall.

### Recreational maths with 450

• 450 backwards is 054
• 450 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 450's digits is 9
• More coming soon!