232800 has 72 divisors (see below), whose sum is σ = 765576. Its totient is φ = 61440.

The previous prime is 232777. The next prime is 232801. The reversal of 232800 is 8232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232801) by changing a digit.

232800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2352 + ... + 2448.

It is an arithmetic number, because the mean of its divisors is an integer number (10633).

2²³²⁸⁰⁰ is an apocalyptic number.

232800 is a gapful number since it is divisible by the number (20) 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 232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382788).

232800 is an abundant number, since it is smaller than the sum of its proper divisors (532776).

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

232800 is a wasteful number, since it uses less digits than its factorization.

232800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 232800 is about 482.4935232726. The cubic root of 232800 is about 61.5168834603.

The spelling of 232800 in words is "two hundred thirty-two thousand, eight hundred".