520152360 has 512 divisors, whose sum is σ = 2128896000. Its totient is φ = 98537472.

The previous prime is 520152329. The next prime is 520152361. The reversal of 520152360 is 63251025.

It is a super-2 number, since 2×520152360² = 541116955227139200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 520152360.

It is not an unprimeable number, because it can be changed into a prime (520152361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4771986 + ... + 4772094.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2^520152360 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 520152360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064448000).

520152360 is an abundant number, since it is smaller than the sum of its proper divisors (1608743640).

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

520152360 is a wasteful number, since it uses less digits than its factorization.

520152360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 520152360 is about 22806.8489713068. The cubic root of 520152360 is about 804.2236822250.

The spelling of 520152360 in words is "five hundred twenty million, one hundred fifty-two thousand, three hundred sixty".