# 409

## 409 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 409 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

409 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 409:

### 409

See below for interesting mathematical facts about the number 409 from the Numbermatics database.

### Names of 409

• Cardinal: 409 can be written as Four hundred nine.

### Scientific notation

• Scientific notation: 4.09 × 102

### Factors of 409

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 409

### Divisors of 409

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 410
• Sum of proper divisors (its aliquot sum) s(n): 1
• 409 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 408

### Bases of 409

• Binary: 1100110012
• Base-36: BD

### Squares and roots of 409

• 409 squared (4092) is 167281
• 409 cubed (4093) is 68417929
• The square root of 409 is 20.2237484161
• The cube root of 409 is 7.4229141205

### Scales and comparisons

How big is 409?
• 409 seconds is equal to 6 minutes, 49 seconds.
• To count from 1 to 409 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 409 cubic inches would be around 0.6 feet tall.

### Recreational maths with 409

• 409 backwards is 904
• The number of decimal digits it has is: 3
• The sum of 409's digits is 13
• More coming soon!