230904720 has 120 divisors (see below), whose sum is σ = 816316800. Its totient is φ = 58330368.

The previous prime is 230904697. The next prime is 230904731. The reversal of 230904720 is 27409032.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 5241 + ... + 22119.

It is an arithmetic number, because the mean of its divisors is an integer number (6802640).

Almost surely, 2^230904720 is an apocalyptic number.

230904720 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 230904720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408158400).

230904720 is an abundant number, since it is smaller than the sum of its proper divisors (585412080).

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

230904720 is a wasteful number, since it uses less digits than its factorization.

230904720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16917 (or 16908 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 230904720 is about 15195.5493484112. The cubic root of 230904720 is about 613.4948718593.

The spelling of 230904720 in words is "two hundred thirty million, nine hundred four thousand, seven hundred twenty".