532464800 has 72 divisors (see below), whose sum is σ = 1485592416. Its totient is φ = 182557440.

The previous prime is 532464767. The next prime is 532464811. The reversal of 532464800 is 8464235.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 41942 + ... + 53141.

It is an arithmetic number, because the mean of its divisors is an integer number (20633228).

Almost surely, 2^532464800 is an apocalyptic number.

532464800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

532464800 is an abundant number, since it is smaller than the sum of its proper divisors (953127616).

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

532464800 is a wasteful number, since it uses less digits than its factorization.

532464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95110 (or 95097 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 532464800 is about 23075.1988073776. The cubic root of 532464800 is about 810.5198106315.

The spelling of 532464800 in words is "five hundred thirty-two million, four hundred sixty-four thousand, eight hundred".