# 407

## 407 is an odd composite number composed of two prime numbers multiplied together.

What does the number 407 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

407 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 407:

### 11 × 37

See below for interesting mathematical facts about the number 407 from the Numbermatics database.

### Names of 407

• Cardinal: 407 can be written as Four hundred seven.

### Scientific notation

• Scientific notation: 4.07 × 102

### Factors of 407

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 48

### Divisors of 407

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 456
• Sum of proper divisors (its aliquot sum) s(n): 49
• 407 is a deficient number, because the sum of its proper divisors (49) is less than itself. Its deficiency is 358

### Bases of 407

• Binary: 1100101112
• Base-36: BB

### Squares and roots of 407

• 407 squared (4072) is 165649
• 407 cubed (4073) is 67419143
• The square root of 407 is 20.1742410019
• The cube root of 407 is 7.4107950555

### Scales and comparisons

How big is 407?
• 407 seconds is equal to 6 minutes, 47 seconds.
• To count from 1 to 407 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 407 cubic inches would be around 0.6 feet tall.

### Recreational maths with 407

• 407 backwards is 704
• 407 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 407's digits is 11
• More coming soon!