504465984 has 168 divisors, whose sum is σ = 1594786752. Its totient is φ = 151188480.

The previous prime is 504465967. The next prime is 504466003. The reversal of 504465984 is 489564405.

504465984 is a `hidden beast` number, since 50 + 4 + 4 + 6 + 598 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652222 + ... + 652994.

Almost surely, 2^504465984 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 504465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797393376).

504465984 is an abundant number, since it is smaller than the sum of its proper divisors (1090320768).

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

504465984 is a wasteful number, since it uses less digits than its factorization.

504465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 504465984 is about 22460.3202114306. The cubic root of 504465984 is about 796.0566275380.

The spelling of 504465984 in words is "five hundred four million, four hundred sixty-five thousand, nine hundred eighty-four".