# 408

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

What does the number 408 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

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

## Prime factorization of 408:

### 23 × 3 × 17

(2 × 2 × 2 × 3 × 17)

See below for interesting mathematical facts about the number 408 from the Numbermatics database.

### Names of 408

• Cardinal: 408 can be written as Four hundred eight.

### Scientific notation

• Scientific notation: 4.08 × 102

### Factors of 408

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 22

### Divisors of 408

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 1080
• Sum of proper divisors (its aliquot sum) s(n): 672
• 408 is an abundant number, because the sum of its proper divisors (672) is greater than itself. Its abundance is 264

### Bases of 408

• Binary: 1100110002
• Base-36: BC

### Squares and roots of 408

• 408 squared (4082) is 166464
• 408 cubed (4083) is 67917312
• The square root of 408 is 20.1990098767
• The cube root of 408 is 7.4168595385

### Scales and comparisons

How big is 408?
• 408 seconds is equal to 6 minutes, 48 seconds.
• To count from 1 to 408 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 408 cubic inches would be around 0.6 feet tall.

### Recreational maths with 408

• 408 backwards is 804
• 408 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 408's digits is 12
• More coming soon!