230400128 has 64 divisors (see below), whose sum is σ = 542721600. Its totient is φ = 95327232.

The previous prime is 230400127. The next prime is 230400151. The reversal of 230400128 is 821004032.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (230400127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21551 + ... + 30417.

It is an arithmetic number, because the mean of its divisors is an integer number (8480025).

Almost surely, 2^230400128 is an apocalyptic number.

230400128 is a gapful number since it is divisible by the number (28) 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 230400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271360800).

230400128 is an abundant number, since it is smaller than the sum of its proper divisors (312321472).

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

230400128 is an equidigital number, since it uses as much as digits as its factorization.

230400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8917 (or 8905 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 230400128 is about 15178.9369851778. The cubic root of 230400128 is about 613.0476594421.

The spelling of 230400128 in words is "two hundred thirty million, four hundred thousand, one hundred twenty-eight".