504197568 has 224 divisors, whose sum is σ = 1720209920. Its totient is φ = 141834240.

The previous prime is 504197537. The next prime is 504197581. The reversal of 504197568 is 865791405.

504197568 is a `hidden beast` number, since 504 + 1 + 97 + 56 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×504197568² = 508430375154229248, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 882723 + ... + 883293.

Almost surely, 2^504197568 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 504197568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860104960).

504197568 is an abundant number, since it is smaller than the sum of its proper divisors (1216012352).

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

504197568 is a wasteful number, since it uses less digits than its factorization.

504197568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 504197568 is about 22454.3440785965. The cubic root of 504197568 is about 795.9154140231.

The spelling of 504197568 in words is "five hundred four million, one hundred ninety-seven thousand, five hundred sixty-eight".