230256000 has 512 divisors, whose sum is σ = 935625600. Its totient is φ = 55296000.

The previous prime is 230255989. The next prime is 230256001. The reversal of 230256000 is 652032.

230256000 is digitally balanced in base 2, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230256001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5615980 + ... + 5616020.

Almost surely, 2^230256000 is an apocalyptic number.

230256000 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 230256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467812800).

230256000 is an abundant number, since it is smaller than the sum of its proper divisors (705369600).

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

230256000 is a wasteful number, since it uses less digits than its factorization.

230256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 230256000 is about 15174.1886109274. The cubic root of 230256000 is about 612.9198010589.

The spelling of 230256000 in words is "two hundred thirty million, two hundred fifty-six thousand".