504941568 has 176 divisors, whose sum is σ = 1458119040. Its totient is φ = 154828800.

The previous prime is 504941557. The next prime is 504941573. The reversal of 504941568 is 865149405.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

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, 2392983 + ... + 2393193.

Almost surely, 2^504941568 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 504941568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729059520).

504941568 is an abundant number, since it is smaller than the sum of its proper divisors (953177472).

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

504941568 is a wasteful number, since it uses less digits than its factorization.

504941568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 504941568 is about 22470.9049216982. The cubic root of 504941568 is about 796.3067090745.

The spelling of 504941568 in words is "five hundred four million, nine hundred forty-one thousand, five hundred sixty-eight".