230428800 has 480 divisors, whose sum is σ = 979461120. Its totient is φ = 52254720.

The previous prime is 230428777. The next prime is 230428801. The reversal of 230428800 is 8824032.

230428800 is a `hidden beast` number, since 230 + 428 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (230428801) 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, 1814337 + ... + 1814463.

It is an arithmetic number, because the mean of its divisors is an integer number (2040544).

Almost surely, 2^230428800 is an apocalyptic number.

230428800 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 230428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489730560).

230428800 is an abundant number, since it is smaller than the sum of its proper divisors (749032320).

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

230428800 is a wasteful number, since it uses less digits than its factorization.

230428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 230428800 is about 15179.8814224618. The cubic root of 230428800 is about 613.0730884983.

The spelling of 230428800 in words is "two hundred thirty million, four hundred twenty-eight thousand, eight hundred".