532132800 has 168 divisors, whose sum is σ = 1776374400. Its totient is φ = 139422720.

The previous prime is 532132787. The next prime is 532132831. The reversal of 532132800 is 8231235.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282261 + ... + 284139.

Almost surely, 2^532132800 is an apocalyptic number.

532132800 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 532132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888187200).

532132800 is an abundant number, since it is smaller than the sum of its proper divisors (1244241600).

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

532132800 is a wasteful number, since it uses less digits than its factorization.

532132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 532132800 is about 23068.0038148081. The cubic root of 532132800 is about 810.3513184143.

The spelling of 532132800 in words is "five hundred thirty-two million, one hundred thirty-two thousand, eight hundred".