504761264 has 40 divisors (see below), whose sum is σ = 1125761280. Its totient is φ = 214763328.

The previous prime is 504761249. The next prime is 504761267. The reversal of 504761264 is 462167405.

It is not an unprimeable number, because it can be changed into a prime (504761267) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 644 + ... + 31779.

It is an arithmetic number, because the mean of its divisors is an integer number (28144032).

Almost surely, 2^504761264 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 504761264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562880640).

504761264 is an abundant number, since it is smaller than the sum of its proper divisors (621000016).

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

504761264 is a wasteful number, since it uses less digits than its factorization.

504761264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32577 (or 32571 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 504761264 is about 22466.8926200309. The cubic root of 504761264 is about 796.2119163389.

The spelling of 504761264 in words is "five hundred four million, seven hundred sixty-one thousand, two hundred sixty-four".