232876800 has 324 divisors, whose sum is σ = 899515344. Its totient is φ = 57139200.

The previous prime is 232876799. The next prime is 232876801. The reversal of 232876800 is 8678232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (232876799) and next prime (232876801).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (232876801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748645 + ... + 748955.

Almost surely, 2^232876800 is an apocalyptic number.

232876800 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 232876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449757672).

232876800 is an abundant number, since it is smaller than the sum of its proper divisors (666638544).

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

232876800 is a wasteful number, since it uses less digits than its factorization.

232876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 232876800 is about 15260.3014387004. The cubic root of 232876800 is about 615.2364745975.

The spelling of 232876800 in words is "two hundred thirty-two million, eight hundred seventy-six thousand, eight hundred".