230785200 has 300 divisors, whose sum is σ = 879084360. Its totient is φ = 57784320.

The previous prime is 230785157. The next prime is 230785201. The reversal of 230785200 is 2587032.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230785201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 550591 + ... + 551009.

Almost surely, 2^230785200 is an apocalyptic number.

230785200 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 230785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439542180).

230785200 is an abundant number, since it is smaller than the sum of its proper divisors (648299160).

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

230785200 is a wasteful number, since it uses less digits than its factorization.

230785200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 230785200 is about 15191.6161088937. The cubic root of 230785200 is about 613.3890019835.

The spelling of 230785200 in words is "two hundred thirty million, seven hundred eighty-five thousand, two hundred".