504659904 has 112 divisors (see below), whose sum is σ = 1543507200. Its totient is φ = 142534656.

The previous prime is 504659887. The next prime is 504659957. The reversal of 504659904 is 409956405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117507 + ... + 121725.

Almost surely, 2^504659904 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 504659904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771753600).

504659904 is an abundant number, since it is smaller than the sum of its proper divisors (1038847296).

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

504659904 is a wasteful number, since it uses less digits than its factorization.

504659904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 504659904 is about 22464.6367431125. The cubic root of 504659904 is about 796.1586175828.

The spelling of 504659904 in words is "five hundred four million, six hundred fifty-nine thousand, nine hundred four".