506944 has 21 divisors (see below), whose sum is σ = 1017397. Its totient is φ = 250624.

The previous prime is 506941. The next prime is 506963. The reversal of 506944 is 449605.

The square root of 506944 is 712.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 409600 = 312^2 + 640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506941) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5652 + ... + 5740.

2⁵⁰⁶⁹⁴⁴ is an apocalyptic number.

506944 is the 712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506944

506944 is an abundant number, since it is smaller than the sum of its proper divisors (510453).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506944 is an frugal number, since it uses more digits than its factorization.

506944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The cubic root of 506944 is about 79.7357950742.

The spelling of 506944 in words is "five hundred six thousand, nine hundred forty-four".