230680800 has 432 divisors, whose sum is σ = 974937600. Its totient is φ = 50181120.

The previous prime is 230680787. The next prime is 230680811. The reversal of 230680800 is 8086032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1159101 + ... + 1159299.

It is an arithmetic number, because the mean of its divisors is an integer number (2256800).

Almost surely, 2^230680800 is an apocalyptic number.

230680800 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 230680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

230680800 is an abundant number, since it is smaller than the sum of its proper divisors (744256800).

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

230680800 is a wasteful number, since it uses less digits than its factorization.

230680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 230680800 is about 15188.1796144238. The cubic root of 230680800 is about 613.2964953720.

The spelling of 230680800 in words is "two hundred thirty million, six hundred eighty thousand, eight hundred".