504297768 has 64 divisors (see below), whose sum is σ = 1365719040. Its totient is φ = 154255104.

The previous prime is 504297767. The next prime is 504297769. The reversal of 504297768 is 867792405.

It is an interprime number because it is at equal distance from previous prime (504297767) and next prime (504297769).

It is a super-3 number, since 3×504297768³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (504297767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49305 + ... + 58647.

It is an arithmetic number, because the mean of its divisors is an integer number (21339360).

Almost surely, 2^504297768 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 504297768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682859520).

504297768 is an abundant number, since it is smaller than the sum of its proper divisors (861421272).

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

504297768 is a wasteful number, since it uses less digits than its factorization.

504297768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538 (or 9534 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 504297768 is about 22456.5751618540. The cubic root of 504297768 is about 795.9681350509.

The spelling of 504297768 in words is "five hundred four million, two hundred ninety-seven thousand, seven hundred sixty-eight".