521120400 has 60 divisors (see below), whose sum is σ = 1669326192. Its totient is φ = 138965120.

The previous prime is 521120387. The next prime is 521120423. The reversal of 521120400 is 4021125.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 521120400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215934 + ... + 218333.

Almost surely, 2^521120400 is an apocalyptic number.

521120400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

521120400 is an abundant number, since it is smaller than the sum of its proper divisors (1148205792).

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

521120400 is a wasteful number, since it uses less digits than its factorization.

521120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434288 (or 434277 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 521120400 is about 22828.0616785569. The cubic root of 521120400 is about 804.7222785924.

Adding to 521120400 its reverse (4021125), we get a palindrome (525141525).

The spelling of 521120400 in words is "five hundred twenty-one million, one hundred twenty thousand, four hundred".