230874672 has 160 divisors (see below), whose sum is σ = 716224000. Its totient is φ = 64012032.

The previous prime is 230874653. The next prime is 230874703. The reversal of 230874672 is 276478032.

230874672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230874672² = 106606228342215168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230874672.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608979 + ... + 609357.

It is an arithmetic number, because the mean of its divisors is an integer number (4476400).

Almost surely, 2^230874672 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 230874672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358112000).

230874672 is an abundant number, since it is smaller than the sum of its proper divisors (485349328).

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

230874672 is a wasteful number, since it uses less digits than its factorization.

230874672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 230874672 is about 15194.5606056904. The cubic root of 230874672 is about 613.4682590157.

The spelling of 230874672 in words is "two hundred thirty million, eight hundred seventy-four thousand, six hundred seventy-two".