230848320 has 112 divisors (see below), whose sum is σ = 756684288. Its totient is φ = 59566080.

The previous prime is 230848283. The next prime is 230848361. The reversal of 230848320 is 23848032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25882 + ... + 33638.

Almost surely, 2^230848320 is an apocalyptic number.

230848320 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 230848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378342144).

230848320 is an abundant number, since it is smaller than the sum of its proper divisors (525835968).

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

230848320 is a wasteful number, since it uses less digits than its factorization.

230848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7808 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 230848320 is about 15193.6934285249. The cubic root of 230848320 is about 613.4449177363. Note that the first 3 decimals are identical.

The spelling of 230848320 in words is "two hundred thirty million, eight hundred forty-eight thousand, three hundred twenty".