230832000 has 384 divisors, whose sum is σ = 951537600. Its totient is φ = 52531200.

The previous prime is 230831989. The next prime is 230832023. The reversal of 230832000 is 238032.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007886 + ... + 1008114.

Almost surely, 2^230832000 is an apocalyptic number.

230832000 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 230832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475768800).

230832000 is an abundant number, since it is smaller than the sum of its proper divisors (720705600).

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

230832000 is a wasteful number, since it uses less digits than its factorization.

230832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230832000 is about 15193.1563540957. The cubic root of 230832000 is about 613.4304614085.

The spelling of 230832000 in words is "two hundred thirty million, eight hundred thirty-two thousand".