507444 has 36 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 144816.

The previous prime is 507431. The next prime is 507461. The reversal of 507444 is 444705.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 507444.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

2⁵⁰⁷⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

507444 is an abundant number, since it is smaller than the sum of its proper divisors (871500).

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

507444 is a wasteful number, since it uses less digits than its factorization.

507444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 507444 is about 712.3510370597. The cubic root of 507444 is about 79.7620009914.

The spelling of 507444 in words is "five hundred seven thousand, four hundred forty-four".