Is 449 a prime number? What are the divisors of 449?

## Parity of 449

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

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## Is 449 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 449 is about 21.190.

Thus, the square root of 449 is not an integer, and therefore 449 is not a square number.

Anyway, 449 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 449?

The square of a number (here 449) is the result of the product of this number (449) by itself (i.e., 449 × 449); the square of 449 is sometimes called "raising 449 to the power 2", or "449 squared".

The square of 449 is 201 601 because 449 × 449 = 4492 = 201 601.

As a consequence, 449 is the square root of 201 601.

## Number of digits of 449

449 is a number with 3 digits.

## What are the multiples of 449?

The multiples of 449 are all integers evenly divisible by 449, that is all numbers such that the remainder of the division by 449 is zero. There are infinitely many multiples of 449. The smallest multiples of 449 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 449). 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 21.190). 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 449

• Preceding numbers: …447, 448
• Following numbers: 450, 451

### Nearest numbers from 449

• Preceding prime number: 443
• Following prime number: 457
Find out whether some integer is a prime number