230793264 has 240 divisors, whose sum is σ = 743119104. Its totient is φ = 66355200.

The previous prime is 230793263. The next prime is 230793271. The reversal of 230793264 is 462397032.

It is a happy number.

230793264 is a `hidden beast` number, since 2 + 307 + 93 + 264 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (230793263) 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, 2379264 + ... + 2379360.

Almost surely, 2^230793264 is an apocalyptic number.

230793264 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 230793264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371559552).

230793264 is an abundant number, since it is smaller than the sum of its proper divisors (512325840).

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

230793264 is a wasteful number, since it uses less digits than its factorization.

230793264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 230793264 is about 15191.8815161256. The cubic root of 230793264 is about 613.3961461610.

The spelling of 230793264 in words is "two hundred thirty million, seven hundred ninety-three thousand, two hundred sixty-four".