# 462

## 462 is an even composite number composed of four prime numbers multiplied together.

What does the number 462 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

462 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 462:

### 2 × 3 × 7 × 11

See below for interesting mathematical facts about the number 462 from the Numbermatics database.

### Names of 462

• Cardinal: 462 can be written as Four hundred sixty-two.

### Scientific notation

• Scientific notation: 4.62 × 102

### Factors of 462

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 23

### Divisors of 462

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 1152
• Sum of proper divisors (its aliquot sum) s(n): 690
• 462 is an abundant number, because the sum of its proper divisors (690) is greater than itself. Its abundance is 228

### Bases of 462

• Binary: 1110011102
• Base-36: CU

### Squares and roots of 462

• 462 squared (4622) is 213444
• 462 cubed (4623) is 98611128
• The square root of 462 is 21.4941852603
• The cube root of 462 is 7.7306140525

### Scales and comparisons

How big is 462?
• 462 seconds is equal to 7 minutes, 42 seconds.
• To count from 1 to 462 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 462 cubic inches would be around 0.6 feet tall.

### Recreational maths with 462

• 462 backwards is 264
• The number of decimal digits it has is: 3
• The sum of 462's digits is 12
• More coming soon!

MLA style:
"Number 462 - Facts about the integer". Numbermatics.com. 2023. Web. 30 March 2023.

APA style:
Numbermatics. (2023). Number 462 - Facts about the integer. Retrieved 30 March 2023, from https://numbermatics.com/n/462/

Chicago style:
Numbermatics. 2023. "Number 462 - Facts about the integer". https://numbermatics.com/n/462/

The information we have on file for 462 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!

Keywords: Divisors of 462, math, Factors of 462, curriculum, school, college, exams, university, Prime factorization of 462, STEM, science, technology, engineering, physics, economics, calculator, four hundred sixty-two.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.