Is 459 a prime number? What are the divisors of 459?

## Parity of 459

459 is an odd number, because it is not evenly divisible by 2.

Find out more:

## Is 459 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 459 is about 21.424.

Thus, the square root of 459 is not an integer, and therefore 459 is not a square number.

## What is the square number of 459?

The square of a number (here 459) is the result of the product of this number (459) by itself (i.e., 459 × 459); the square of 459 is sometimes called "raising 459 to the power 2", or "459 squared".

The square of 459 is 210 681 because 459 × 459 = 4592 = 210 681.

As a consequence, 459 is the square root of 210 681.

## Number of digits of 459

459 is a number with 3 digits.

## What are the multiples of 459?

The multiples of 459 are all integers evenly divisible by 459, that is all numbers such that the remainder of the division by 459 is zero. There are infinitely many multiples of 459. The smallest multiples of 459 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 459). 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 21.424). 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 459

• Preceding numbers: …457, 458
• Following numbers: 460, 461

### Nearest numbers from 459

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