230364288 has 384 divisors, whose sum is σ = 859248000. Its totient is φ = 58705920.

The previous prime is 230364247. The next prime is 230364293. The reversal of 230364288 is 882463032.

230364288 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 642 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4346470 + ... + 4346522.

It is an arithmetic number, because the mean of its divisors is an integer number (2237625).

Almost surely, 2^230364288 is an apocalyptic number.

230364288 is a gapful number since it is divisible by the number (28) 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 230364288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429624000).

230364288 is an abundant number, since it is smaller than the sum of its proper divisors (628883712).

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

230364288 is a wasteful number, since it uses less digits than its factorization.

230364288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 230364288 is about 15177.7563559309. The cubic root of 230364288 is about 613.0158701550.

The spelling of 230364288 in words is "two hundred thirty million, three hundred sixty-four thousand, two hundred eighty-eight".