505624 has 16 divisors (see below), whose sum is σ = 1083600. Its totient is φ = 216672.

The previous prime is 505619. The next prime is 505633. The reversal of 505624 is 426505.

It is a junction number, because it is equal to n+sod(n) for n = 505595 and 505604.

It is a congruent number.

It is an unprimeable number.

505624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4459 + ... + 4570.

It is an arithmetic number, because the mean of its divisors is an integer number (67725).

2⁵⁰⁵⁶²⁴ is an apocalyptic number.

It is an amenable number.

505624 is an abundant number, since it is smaller than the sum of its proper divisors (577976).

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

505624 is a wasteful number, since it uses less digits than its factorization.

505624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9042 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 505624 is about 711.0724295035. The cubic root of 505624 is about 79.6665285580. Note that the first 3 decimals are identical.

The spelling of 505624 in words is "five hundred five thousand, six hundred twenty-four".