504768384 has 96 divisors (see below), whose sum is σ = 1488090240. Its totient is φ = 164136960.

The previous prime is 504768377. The next prime is 504768413. The reversal of 504768384 is 483867405.

504768384 is a `hidden beast` number, since 504 + 7 + 68 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×504768384² = 509582242971942912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41889 + ... + 52575.

It is an arithmetic number, because the mean of its divisors is an integer number (15500940).

Almost surely, 2^504768384 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 504768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744045120).

504768384 is an abundant number, since it is smaller than the sum of its proper divisors (983321856).

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

504768384 is a wasteful number, since it uses less digits than its factorization.

504768384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10748 (or 10733 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 504768384 is about 22467.0510748518. The cubic root of 504768384 is about 796.2156600243.

The spelling of 504768384 in words is "five hundred four million, seven hundred sixty-eight thousand, three hundred eighty-four".