# 1407

## 1,407 is an odd composite number composed of three prime numbers multiplied together.

What does the number 1407 look like?

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

1407 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1407:

### 3 × 7 × 67

See below for interesting mathematical facts about the number 1407 from the Numbermatics database.

### Names of 1407

• Cardinal: 1407 can be written as One thousand, four hundred seven.

### Scientific notation

• Scientific notation: 1.407 × 103

### Factors of 1407

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 77

### Divisors of 1407

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 2176
• Sum of proper divisors (its aliquot sum) s(n): 769
• 1407 is a deficient number, because the sum of its proper divisors (769) is less than itself. Its deficiency is 638

### Bases of 1407

• Binary: 101011111112
• Base-36: 133

### Squares and roots of 1407

• 1407 squared (14072) is 1979649
• 1407 cubed (14073) is 2785366143
• The square root of 1407 is 37.5099986671
• The cube root of 1407 is 11.2055032479

### Scales and comparisons

How big is 1407?
• 1,407 seconds is equal to 23 minutes, 27 seconds.
• To count from 1 to 1,407 would take you about twenty-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 1407 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1407

• 1407 backwards is 7041
• The number of decimal digits it has is: 4
• The sum of 1407's digits is 12
• More coming soon!