520296560 has 320 divisors, whose sum is σ = 1583898624. Its totient is φ = 154828800.

The previous prime is 520296559. The next prime is 520296563. The reversal of 520296560 is 65692025.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 520296560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520296563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12099899 + ... + 12099941.

Almost surely, 2^520296560 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 520296560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791949312).

520296560 is an abundant number, since it is smaller than the sum of its proper divisors (1063602064).

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

520296560 is a wasteful number, since it uses less digits than its factorization.

520296560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 520296560 is about 22810.0100832946. The cubic root of 520296560 is about 804.2979927213.

It can be divided in two parts, 5202965 and 60, that added together give a palindrome (5203025).

The spelling of 520296560 in words is "five hundred twenty million, two hundred ninety-six thousand, five hundred sixty".