Is 462 a prime number? What are the divisors of 462?

## Parity of 462

462 is an even number, because it is evenly divisible by 2: 462 / 2 = 231.

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## Is 462 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 462 is about 21.494.

Thus, the square root of 462 is not an integer, and therefore 462 is not a square number.

## What is the square number of 462?

The square of a number (here 462) is the result of the product of this number (462) by itself (i.e., 462 × 462); the square of 462 is sometimes called "raising 462 to the power 2", or "462 squared".

The square of 462 is 213 444 because 462 × 462 = 4622 = 213 444.

As a consequence, 462 is the square root of 213 444.

## Number of digits of 462

462 is a number with 3 digits.

## What are the multiples of 462?

The multiples of 462 are all integers evenly divisible by 462, that is all numbers such that the remainder of the division by 462 is zero. There are infinitely many multiples of 462. The smallest multiples of 462 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 462). 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 21.494). 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 462

• Preceding numbers: …460, 461
• Following numbers: 463, 464

### Nearest numbers from 462

• Preceding prime number: 461
• Following prime number: 463
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