520928800 has 216 divisors, whose sum is σ = 1505505204. Its totient is φ = 175472640.

The previous prime is 520928797. The next prime is 520928801. The reversal of 520928800 is 8829025.

It can be written as a sum of positive squares in 6 ways, for example, as 196784784 + 324144016 = 14028^2 + 18004^2 .

It is not an unprimeable number, because it can be changed into a prime (520928801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3802332 + ... + 3802468.

Almost surely, 2^520928800 is an apocalyptic number.

520928800 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 520928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752752602).

520928800 is an abundant number, since it is smaller than the sum of its proper divisors (984576404).

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

520928800 is a wasteful number, since it uses less digits than its factorization.

520928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 520928800 is about 22823.8647034195. The cubic root of 520928800 is about 804.6236425965.

The spelling of 520928800 in words is "five hundred twenty million, nine hundred twenty-eight thousand, eight hundred".