521980416 has 160 divisors (see below), whose sum is σ = 1572964800. Its totient is φ = 170864640.

The previous prime is 521980391. The next prime is 521980421. The reversal of 521980416 is 614089125.

521980416 is a `hidden beast` number, since 52 + 198 + 0 + 416 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842955 + ... + 843573.

It is an arithmetic number, because the mean of its divisors is an integer number (9831030).

Almost surely, 2^521980416 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 521980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786482400).

521980416 is an abundant number, since it is smaller than the sum of its proper divisors (1050984384).

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

521980416 is an equidigital number, since it uses as much as digits as its factorization.

521980416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 521980416 is about 22846.8907293750. The cubic root of 521980416 is about 805.1647186817.

The spelling of 521980416 in words is "five hundred twenty-one million, nine hundred eighty thousand, four hundred sixteen".