521408160 has 576 divisors, whose sum is σ = 2298336768. Its totient is φ = 104620032.

The previous prime is 521408159. The next prime is 521408161. The reversal of 521408160 is 61804125.

521408160 is a `hidden beast` number, since 521 + 4 + 0 + 81 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (521408159) and next prime (521408161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521408161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3013834 + ... + 3014006.

It is an arithmetic number, because the mean of its divisors is an integer number (3990168).

Almost surely, 2^521408160 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 521408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149168384).

521408160 is an abundant number, since it is smaller than the sum of its proper divisors (1776928608).

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

521408160 is a wasteful number, since it uses less digits than its factorization.

521408160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 521408160 is about 22834.3635777308. The cubic root of 521408160 is about 804.8703725022.

The spelling of 521408160 in words is "five hundred twenty-one million, four hundred eight thousand, one hundred sixty".