230304672 has 144 divisors (see below), whose sum is σ = 712038600. Its totient is φ = 70189056.

The previous prime is 230304587. The next prime is 230304691. The reversal of 230304672 is 276403032.

230304672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 179667216 + 50637456 = 13404^2 + 7116^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512704 + ... + 513152.

Almost surely, 2^230304672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230304672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356019300).

230304672 is an abundant number, since it is smaller than the sum of its proper divisors (481733928).

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

230304672 is a wasteful number, since it uses less digits than its factorization.

230304672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 230304672 is about 15175.7923022161. The cubic root of 230304672 is about 612.9629847773.

The spelling of 230304672 in words is "two hundred thirty million, three hundred four thousand, six hundred seventy-two".