232004000 has 96 divisors (see below), whose sum is σ = 588736512. Its totient is φ = 89760000.

The previous prime is 232003991. The next prime is 232004009. The reversal of 232004000 is 400232.

232004000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232003991) and next prime (232004009).

It is not an unprimeable number, because it can be changed into a prime (232004009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123065 + ... + 124935.

It is an arithmetic number, because the mean of its divisors is an integer number (6132672).

Almost surely, 2^232004000 is an apocalyptic number.

232004000 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 232004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294368256).

232004000 is an abundant number, since it is smaller than the sum of its proper divisors (356732512).

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

232004000 is a wasteful number, since it uses less digits than its factorization.

232004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 232004000 is about 15231.6775175947. The cubic root of 232004000 is about 614.4668965155.

Adding to 232004000 its reverse (400232), we get a palindrome (232404232).

The spelling of 232004000 in words is "two hundred thirty-two million, four thousand".