# 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!

MLA style:
"Number 409 - Facts about the integer". Numbermatics.com. 2021. Web. 28 November 2021.

APA style:
Numbermatics. (2021). Number 409 - Facts about the integer. Retrieved 28 November 2021, from https://numbermatics.com/n/409/

Chicago style:
Numbermatics. 2021. "Number 409 - Facts about the integer". https://numbermatics.com/n/409/

The information we have on file for 409 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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