# 405

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

What does the number 405 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

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

## Prime factorization of 405:

### 34 × 5

(3 × 3 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 405 from the Numbermatics database.

### Names of 405

• Cardinal: 405 can be written as Four hundred five.

### Scientific notation

• Scientific notation: 4.05 × 102

### Factors of 405

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 8

### Divisors of 405

• Number of divisors d(n): 10
• Complete list of divisors:
• Sum of all divisors σ(n): 726
• Sum of proper divisors (its aliquot sum) s(n): 321
• 405 is a deficient number, because the sum of its proper divisors (321) is less than itself. Its deficiency is 84

### Bases of 405

• Binary: 1100101012
• Base-36: B9

### Squares and roots of 405

• 405 squared (4052) is 164025
• 405 cubed (4053) is 66430125
• The square root of 405 is 20.1246117975
• The cube root of 405 is 7.3986362229

### Scales and comparisons

How big is 405?
• 405 seconds is equal to 6 minutes, 45 seconds.
• To count from 1 to 405 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 405 cubic inches would be around 0.6 feet tall.

### Recreational maths with 405

• 405 backwards is 504
• 405 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 405's digits is 9
• More coming soon!

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"Number 405 - Facts about the integer". Numbermatics.com. 2022. Web. 19 August 2022.

APA style:
Numbermatics. (2022). Number 405 - Facts about the integer. Retrieved 19 August 2022, from https://numbermatics.com/n/405/

Chicago style:
Numbermatics. 2022. "Number 405 - Facts about the integer". https://numbermatics.com/n/405/

The information we have on file for 405 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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