520416960 has 224 divisors, whose sum is σ = 1933358592. Its totient is φ = 116121600.

The previous prime is 520416887. The next prime is 520416961. The reversal of 520416960 is 69614025.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (520416961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288060 + ... + 289860.

Almost surely, 2^520416960 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 520416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966679296).

520416960 is an abundant number, since it is smaller than the sum of its proper divisors (1412941632).

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

520416960 is a wasteful number, since it uses less digits than its factorization.

520416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 520416960 is about 22812.6491228003. The cubic root of 520416960 is about 804.3600278612.

The spelling of 520416960 in words is "five hundred twenty million, four hundred sixteen thousand, nine hundred sixty".