504285984 has 72 divisors (see below), whose sum is σ = 1436460480. Its totient is φ = 167814528.

The previous prime is 504285967. The next prime is 504285997. The reversal of 504285984 is 489582405.

504285984 is a `hidden beast` number, since 50 + 4 + 2 + 8 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 240589 + ... + 242675.

It is an arithmetic number, because the mean of its divisors is an integer number (19950840).

Almost surely, 2^504285984 is an apocalyptic number.

It is an amenable number.

504285984 is an abundant number, since it is smaller than the sum of its proper divisors (932174496).

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

504285984 is a wasteful number, since it uses less digits than its factorization.

504285984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 504285984 is about 22456.3127872765. The cubic root of 504285984 is about 795.9619351679.

The spelling of 504285984 in words is "five hundred four million, two hundred eighty-five thousand, nine hundred eighty-four".