521134400 has 42 divisors (see below), whose sum is σ = 1282320270. Its totient is φ = 208453120.

The previous prime is 521134399. The next prime is 521134403. The reversal of 521134400 is 4431125.

It can be written as a sum of positive squares in 3 ways, for example, as 8202496 + 512931904 = 2864^2 + 22648^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521134403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 161255 + ... + 164454.

It is an arithmetic number, because the mean of its divisors is an integer number (30531435).

Almost surely, 2^521134400 is an apocalyptic number.

521134400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

521134400 is an abundant number, since it is smaller than the sum of its proper divisors (761185870).

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

521134400 is a wasteful number, since it uses less digits than its factorization.

521134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325731 (or 325716 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 521134400 is about 22828.3683166362. The cubic root of 521134400 is about 804.7294848675.

Adding to 521134400 its reverse (4431125), we get a palindrome (525565525).

The spelling of 521134400 in words is "five hundred twenty-one million, one hundred thirty-four thousand, four hundred".