232876000 has 96 divisors (see below), whose sum is σ = 653994432. Its totient is φ = 79833600.

The previous prime is 232875997. The next prime is 232876031. The reversal of 232876000 is 678232.

232876000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 232876000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23842 + ... + 32158.

It is an arithmetic number, because the mean of its divisors is an integer number (6812442).

Almost surely, 2^232876000 is an apocalyptic number.

232876000 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 232876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326997216).

232876000 is an abundant number, since it is smaller than the sum of its proper divisors (421118432).

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

232876000 is an equidigital number, since it uses as much as digits as its factorization.

232876000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8349 (or 8331 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 232876000 is about 15260.2752268758. The cubic root of 232876000 is about 615.2357700909.

The spelling of 232876000 in words is "two hundred thirty-two million, eight hundred seventy-six thousand".