532816800 has 72 divisors (see below), whose sum is σ = 1734326496. Its totient is φ = 142083840.

The previous prime is 532816777. The next prime is 532816807. The reversal of 532816800 is 8618235.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (532816807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108604 + ... + 113403.

It is an arithmetic number, because the mean of its divisors is an integer number (24087868).

Almost surely, 2^532816800 is an apocalyptic number.

532816800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

532816800 is an abundant number, since it is smaller than the sum of its proper divisors (1201509696).

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

532816800 is a wasteful number, since it uses less digits than its factorization.

532816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222030 (or 222017 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 532816800 is about 23082.8247838084. The cubic root of 532816800 is about 810.6983765057.

The spelling of 532816800 in words is "five hundred thirty-two million, eight hundred sixteen thousand, eight hundred".