# 416

## 416 is an even composite number composed of two prime numbers multiplied together.

What does the number 416 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 12 divisors.

416 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 416:

### 25 × 13

(2 × 2 × 2 × 2 × 2 × 13)

See below for interesting mathematical facts about the number 416 from the Numbermatics database.

### Names of 416

• Cardinal: 416 can be written as Four hundred sixteen.

### Scientific notation

• Scientific notation: 4.16 × 102

### Factors of 416

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 15

### Divisors of 416

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 882
• Sum of proper divisors (its aliquot sum) s(n): 466
• 416 is an abundant number, because the sum of its proper divisors (466) is greater than itself. Its abundance is 50

### Bases of 416

• Binary: 1101000002
• Base-36: BK

### Squares and roots of 416

• 416 squared (4162) is 173056
• 416 cubed (4163) is 71991296
• The square root of 416 is 20.3960780543
• The cube root of 416 is 7.4650223137

### Scales and comparisons

How big is 416?
• 416 seconds is equal to 6 minutes, 56 seconds.
• To count from 1 to 416 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 416 cubic inches would be around 0.6 feet tall.

### Recreational maths with 416

• 416 backwards is 614
• The number of decimal digits it has is: 3
• The sum of 416's digits is 11
• More coming soon!