230235264 has 256 divisors, whose sum is σ = 804249600. Its totient is φ = 63452160.

The previous prime is 230235259. The next prime is 230235307. The reversal of 230235264 is 462532032.

230235264 is a `hidden beast` number, since 2 + 302 + 352 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 749799 + ... + 750105.

It is an arithmetic number, because the mean of its divisors is an integer number (3141600).

Almost surely, 2^230235264 is an apocalyptic number.

230235264 is a gapful number since it is divisible by the number (24) 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 230235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402124800).

230235264 is an abundant number, since it is smaller than the sum of its proper divisors (574014336).

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

230235264 is a wasteful number, since it uses less digits than its factorization.

230235264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 230235264 is about 15173.5053300152. The cubic root of 230235264 is about 612.9014014131.

Adding to 230235264 its reverse (462532032), we get a palindrome (692767296).

The spelling of 230235264 in words is "two hundred thirty million, two hundred thirty-five thousand, two hundred sixty-four".