504959 has 16 divisors (see below), whose sum is σ = 645120. Its totient is φ = 384480.

The previous prime is 504953. The next prime is 504967. The reversal of 504959 is 959405.

It is a cyclic number.

It is not a de Polignac number, because 504959 - 2⁴ = 504943 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2732 + ... + 2910.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁵⁰⁴⁹⁵⁹ is an apocalyptic number.

504959 is a deficient number, since it is larger than the sum of its proper divisors (140161).

504959 is a wasteful number, since it uses less digits than its factorization.

504959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230.

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 504959 is about 710.6046720927. The cubic root of 504959 is about 79.6315872550.

The spelling of 504959 in words is "five hundred four thousand, nine hundred fifty-nine".