504002664 has 96 divisors (see below), whose sum is σ = 1567519200. Its totient is φ = 144685440.

The previous prime is 504002663. The next prime is 504002669. The reversal of 504002664 is 466200405.

It is a happy number.

504002664 is a modest number, since divided by 2664 gives 504 as remainder.

It is not an unprimeable number, because it can be changed into a prime (504002663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699 + ... + 31794.

It is an arithmetic number, because the mean of its divisors is an integer number (16328325).

Almost surely, 2^504002664 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 504002664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783759600).

504002664 is an abundant number, since it is smaller than the sum of its proper divisors (1063516536).

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

504002664 is a wasteful number, since it uses less digits than its factorization.

504002664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33535 (or 33528 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 504002664 is about 22450.0036525610. The cubic root of 504002664 is about 795.8128437208.

The spelling of 504002664 in words is "five hundred four million, two thousand, six hundred sixty-four".