520704000 has 312 divisors, whose sum is σ = 1893693672. Its totient is φ = 137625600.

The previous prime is 520703971. The next prime is 520704001. The reversal of 520704000 is 407025.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 137170944 + 383533056 = 11712^2 + 19584^2 .

It is a super-2 number, since 2×520704000² = 542265311232000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520704001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4607944 + ... + 4608056.

It is an arithmetic number, because the mean of its divisors is an integer number (6069531).

Almost surely, 2^520704000 is an apocalyptic number.

520704000 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 520704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946846836).

520704000 is an abundant number, since it is smaller than the sum of its proper divisors (1372989672).

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

520704000 is a wasteful number, since it uses less digits than its factorization.

520704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 520704000 is about 22818.9395020890. The cubic root of 520704000 is about 804.5078843459.

The spelling of 520704000 in words is "five hundred twenty million, seven hundred four thousand".