503904 has 48 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 161280.

The previous prime is 503879. The next prime is 503911. The reversal of 503904 is 409305.

503904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

503904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2694 + ... + 2874.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2⁵⁰³⁹⁰⁴ 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 503904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

503904 is an abundant number, since it is smaller than the sum of its proper divisors (872016).

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

503904 is a wasteful number, since it uses less digits than its factorization.

503904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 503904 is about 709.8619584116. The cubic root of 503904 is about 79.5760910660.

The spelling of 503904 in words is "five hundred three thousand, nine hundred four".