230982400 has 216 divisors, whose sum is σ = 663801264. Its totient is φ = 78643200.

The previous prime is 230982377. The next prime is 230982431. The reversal of 230982400 is 4289032.

230982400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196704 + ... + 1196896.

It is an arithmetic number, because the mean of its divisors is an integer number (3073154).

Almost surely, 2^230982400 is an apocalyptic number.

230982400 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 230982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331900632).

230982400 is an abundant number, since it is smaller than the sum of its proper divisors (432818864).

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

230982400 is a wasteful number, since it uses less digits than its factorization.

230982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 230982400 is about 15198.1051450502. The cubic root of 230982400 is about 613.5636606055.

The spelling of 230982400 in words is "two hundred thirty million, nine hundred eighty-two thousand, four hundred".