520764288 has 256 divisors, whose sum is σ = 1612154880. Its totient is φ = 147456000.

The previous prime is 520764253. The next prime is 520764289. The reversal of 520764288 is 882467025.

It is a happy number.

It is a super-2 number, since 2×520764288² = 542390887312293888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520764289) 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, 5368656 + ... + 5368752.

It is an arithmetic number, because the mean of its divisors is an integer number (6297480).

Almost surely, 2^520764288 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 520764288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806077440).

520764288 is an abundant number, since it is smaller than the sum of its proper divisors (1091390592).

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

520764288 is a wasteful number, since it uses less digits than its factorization.

520764288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 520764288 is about 22820.2604717825. The cubic root of 520764288 is about 804.5389322474.

The spelling of 520764288 in words is "five hundred twenty million, seven hundred sixty-four thousand, two hundred eighty-eight".