230638880 has 48 divisors (see below), whose sum is σ = 547150464. Its totient is φ = 91872000.

The previous prime is 230638879. The next prime is 230638883. The reversal of 230638880 is 88836032.

230638880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230638883) 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, 37289 + ... + 43031.

It is an arithmetic number, because the mean of its divisors is an integer number (11398968).

Almost surely, 2^230638880 is an apocalyptic number.

230638880 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 230638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273575232).

230638880 is an abundant number, since it is smaller than the sum of its proper divisors (316511584).

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

230638880 is a wasteful number, since it uses less digits than its factorization.

230638880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6009 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 230638880 is about 15186.7995311718. The cubic root of 230638880 is about 613.2593431013.

The spelling of 230638880 in words is "two hundred thirty million, six hundred thirty-eight thousand, eight hundred eighty".