Is 460 a prime number? What are the divisors of 460?

## Parity of 460

460 is an even number, because it is evenly divisible by 2: 460 / 2 = 230.

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## Is 460 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 460 is about 21.448.

Thus, the square root of 460 is not an integer, and therefore 460 is not a square number.

## What is the square number of 460?

The square of a number (here 460) is the result of the product of this number (460) by itself (i.e., 460 × 460); the square of 460 is sometimes called "raising 460 to the power 2", or "460 squared".

The square of 460 is 211 600 because 460 × 460 = 4602 = 211 600.

As a consequence, 460 is the square root of 211 600.

## Number of digits of 460

460 is a number with 3 digits.

## What are the multiples of 460?

The multiples of 460 are all integers evenly divisible by 460, that is all numbers such that the remainder of the division by 460 is zero. There are infinitely many multiples of 460. The smallest multiples of 460 are:

## How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 460). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 21.448). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

## Numbers near 460

• Preceding numbers: …458, 459
• Following numbers: 461, 462

### Nearest numbers from 460

• Preceding prime number: 457
• Following prime number: 461
Find out whether some integer is a prime number