532016800 has 72 divisors (see below), whose sum is σ = 1484342496. Its totient is φ = 182403840.

The previous prime is 532016789. The next prime is 532016831. The reversal of 532016800 is 8610235.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41902 + ... + 53101.

It is an arithmetic number, because the mean of its divisors is an integer number (20615868).

Almost surely, 2^532016800 is an apocalyptic number.

532016800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

532016800 is an abundant number, since it is smaller than the sum of its proper divisors (952325696).

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

532016800 is a wasteful number, since it uses less digits than its factorization.

532016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95030 (or 95017 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 532016800 is about 23065.4893726537. The cubic root of 532016800 is about 810.2924311188.

The spelling of 532016800 in words is "five hundred thirty-two million, sixteen thousand, eight hundred".