230592800 has 36 divisors (see below), whose sum is σ = 562936626. Its totient is φ = 92236800.

The previous prime is 230592781. The next prime is 230592839. The reversal of 230592800 is 8295032.

It can be written as a sum of positive squares in 3 ways, for example, as 178810384 + 51782416 = 13372^2 + 7196^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143321 + ... + 144920.

Almost surely, 2^230592800 is an apocalyptic number.

230592800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230592800 is an abundant number, since it is smaller than the sum of its proper divisors (332343826).

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

230592800 is a wasteful number, since it uses less digits than its factorization.

230592800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288261 (or 288248 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 230592800 is about 15185.2823483793. The cubic root of 230592800 is about 613.2184987697.

The spelling of 230592800 in words is "two hundred thirty million, five hundred ninety-two thousand, eight hundred".