230921600 has 288 divisors, whose sum is σ = 717521040. Its totient is φ = 71884800.

The previous prime is 230921563. The next prime is 230921609. The reversal of 230921600 is 6129032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230921609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3785570 + ... + 3785630.

Almost surely, 2^230921600 is an apocalyptic number.

230921600 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 230921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358760520).

230921600 is an abundant number, since it is smaller than the sum of its proper divisors (486599440).

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

230921600 is a wasteful number, since it uses less digits than its factorization.

230921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 230921600 is about 15196.1047640506. The cubic root of 230921600 is about 613.5098210861.

The spelling of 230921600 in words is "two hundred thirty million, nine hundred twenty-one thousand, six hundred".