# 461

## 461 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 461 look like?

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

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

## Prime factorization of 461:

### 461

See below for interesting mathematical facts about the number 461 from the Numbermatics database.

### Names of 461

• Cardinal: 461 can be written as Four hundred sixty-one.

### Scientific notation

• Scientific notation: 4.61 × 102

### Factors of 461

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 461

### Divisors of 461

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 462
• Sum of proper divisors (its aliquot sum) s(n): 1
• 461 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 460

### Bases of 461

• Binary: 1110011012
• Base-36: CT

### Squares and roots of 461

• 461 squared (4612) is 212521
• 461 cubed (4613) is 97972181
• The square root of 461 is 21.4709105535
• The cube root of 461 is 7.7250323797

### Scales and comparisons

How big is 461?
• 461 seconds is equal to 7 minutes, 41 seconds.
• To count from 1 to 461 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 461 cubic inches would be around 0.6 feet tall.

### Recreational maths with 461

• 461 backwards is 164
• 461 is a twin prime! Its twin is 463
• The number of decimal digits it has is: 3
• The sum of 461's digits is 11
• More coming soon!