230866272 has 288 divisors, whose sum is σ = 845365248. Its totient is φ = 58088448.

The previous prime is 230866271. The next prime is 230866277. The reversal of 230866272 is 272668032.

230866272 is a `hidden beast` number, since 23 + 0 + 8 + 6 + 627 + 2 = 666.

230866272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230866271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602593 + ... + 602975.

It is an arithmetic number, because the mean of its divisors is an integer number (2935296).

Almost surely, 2^230866272 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 230866272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422682624).

230866272 is an abundant number, since it is smaller than the sum of its proper divisors (614498976).

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

230866272 is a wasteful number, since it uses less digits than its factorization.

230866272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 230866272 is about 15194.2841884703. The cubic root of 230866272 is about 613.4608189100.

The spelling of 230866272 in words is "two hundred thirty million, eight hundred sixty-six thousand, two hundred seventy-two".