521904768 has 256 divisors, whose sum is σ = 1821312000. Its totient is φ = 128286720.

The previous prime is 521904767. The next prime is 521904781. The reversal of 521904768 is 867409125.

It is a super-2 number, since 2×521904768² = 544769173722267648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (521904767) 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 31 ways as a sum of consecutive naturals, for example, 561328 + ... + 562256.

It is an arithmetic number, because the mean of its divisors is an integer number (7114500).

Almost surely, 2^521904768 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 521904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910656000).

521904768 is an abundant number, since it is smaller than the sum of its proper divisors (1299407232).

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

521904768 is a wasteful number, since it uses less digits than its factorization.

521904768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 521904768 is about 22845.2351268268. The cubic root of 521904768 is about 805.1258206430.

The spelling of 521904768 in words is "five hundred twenty-one million, nine hundred four thousand, seven hundred sixty-eight".