Is 478 a prime number? What are the divisors of 478?

## Parity of 478

478 is an even number, because it is evenly divisible by 2: 478 / 2 = 239.

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## Is 478 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 478 is about 21.863.

Thus, the square root of 478 is not an integer, and therefore 478 is not a square number.

## What is the square number of 478?

The square of a number (here 478) is the result of the product of this number (478) by itself (i.e., 478 × 478); the square of 478 is sometimes called "raising 478 to the power 2", or "478 squared".

The square of 478 is 228 484 because 478 × 478 = 4782 = 228 484.

As a consequence, 478 is the square root of 228 484.

## Number of digits of 478

478 is a number with 3 digits.

## What are the multiples of 478?

The multiples of 478 are all integers evenly divisible by 478, that is all numbers such that the remainder of the division by 478 is zero. There are infinitely many multiples of 478. The smallest multiples of 478 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 478). 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 21.863). 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 478

• Preceding numbers: …476, 477
• Following numbers: 479, 480

### Nearest numbers from 478

• Preceding prime number: 467
• Following prime number: 479
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