# 406

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

What does the number 406 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

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

## Prime factorization of 406:

### 2 × 7 × 29

See below for interesting mathematical facts about the number 406 from the Numbermatics database.

### Names of 406

• Cardinal: 406 can be written as Four hundred six.

### Scientific notation

• Scientific notation: 4.06 × 102

### Factors of 406

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 38

### Divisors of 406

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 720
• Sum of proper divisors (its aliquot sum) s(n): 314
• 406 is a deficient number, because the sum of its proper divisors (314) is less than itself. Its deficiency is 92

### Bases of 406

• Binary: 1100101102
• Base-36: BA

### Squares and roots of 406

• 406 squared (4062) is 164836
• 406 cubed (4063) is 66923416
• The square root of 406 is 20.1494416797
• The cube root of 406 is 7.4047206305

### Scales and comparisons

How big is 406?
• 406 seconds is equal to 6 minutes, 46 seconds.
• To count from 1 to 406 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 406 cubic inches would be around 0.6 feet tall.

### Recreational maths with 406

• 406 backwards is 604
• The number of decimal digits it has is: 3
• The sum of 406's digits is 10
• More coming soon!