520400 has 30 divisors (see below), whose sum is σ = 1251222. Its totient is φ = 208000.

The previous prime is 520393. The next prime is 520409. The reversal of 520400 is 4025.

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 512656 = 88^2 + 716^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 520400.

It is not an unprimeable number, because it can be changed into a prime (520409) by changing a digit.

520400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 251 + ... + 1050.

2⁵²⁰⁴⁰⁰ is an apocalyptic number.

520400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

520400 is an abundant number, since it is smaller than the sum of its proper divisors (730822).

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

520400 is a wasteful number, since it uses less digits than its factorization.

520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 520400 is about 721.3875518749. The cubic root of 520400 is about 80.4351289935.

Adding to 520400 its reverse (4025), we get a palindrome (524425).

The spelling of 520400 in words is "five hundred twenty thousand, four hundred".