522385920 has 480 divisors, whose sum is σ = 2144862720. Its totient is φ = 115015680.

The previous prime is 522385909. The next prime is 522385921. The reversal of 522385920 is 29583225.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (522385921) 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 47 ways as a sum of consecutive naturals, for example, 6612441 + ... + 6612519.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2^522385920 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 522385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

522385920 is an abundant number, since it is smaller than the sum of its proper divisors (1622476800).

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

522385920 is a wasteful number, since it uses less digits than its factorization.

522385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 522385920 is about 22855.7633869447. The cubic root of 522385920 is about 805.3731639243.

The spelling of 522385920 in words is "five hundred twenty-two million, three hundred eighty-five thousand, nine hundred twenty".