530832800 has 36 divisors (see below), whose sum is σ = 1295897526. Its totient is φ = 212332800.

The previous prime is 530832793. The next prime is 530832817. The reversal of 530832800 is 8238035.

It can be written as a sum of positive squares in 3 ways, for example, as 296252944 + 234579856 = 17212^2 + 15316^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 330971 + ... + 332570.

Almost surely, 2^530832800 is an apocalyptic number.

530832800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

530832800 is an abundant number, since it is smaller than the sum of its proper divisors (765064726).

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

530832800 is a wasteful number, since it uses less digits than its factorization.

530832800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663561 (or 663548 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 530832800 is about 23039.8090269863. The cubic root of 530832800 is about 809.6908844369.

The spelling of 530832800 in words is "five hundred thirty million, eight hundred thirty-two thousand, eight hundred".