520400000 has 96 divisors (see below), whose sum is σ = 1296831060. Its totient is φ = 208000000.

The previous prime is 520399993. The next prime is 520400009. The reversal of 520400000 is 4025.

It can be written as a sum of positive squares in 6 ways, for example, as 230310976 + 290089024 = 15176^2 + 17032^2 .

It is not an unprimeable number, because it can be changed into a prime (520400009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399350 + ... + 400650.

Almost surely, 2^520400000 is an apocalyptic number.

520400000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648415530).

520400000 is an abundant number, since it is smaller than the sum of its proper divisors (776431060).

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

520400000 is an frugal number, since it uses more digits than its factorization.

520400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1308 counting only the distinct ones).

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

The square root of 520400000 is about 22812.2773961742. The cubic root of 520400000 is about 804.3512899354.

Adding to 520400000 its reverse (4025), we get a palindrome (520404025).

The spelling of 520400000 in words is "five hundred twenty million, four hundred thousand".