230733360 has 480 divisors, whose sum is σ = 955438848. Its totient is φ = 51010560.

The previous prime is 230733317. The next prime is 230733361. The reversal of 230733360 is 63337032.

230733360 is a `hidden beast` number, since 230 + 73 + 3 + 360 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230733361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2779879 + ... + 2779961.

Almost surely, 2^230733360 is an apocalyptic number.

230733360 is a gapful number since it is divisible by the number (20) 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 230733360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477719424).

230733360 is an abundant number, since it is smaller than the sum of its proper divisors (724705488).

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

230733360 is a wasteful number, since it uses less digits than its factorization.

230733360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 27.

The square root of 230733360 is about 15189.9098088172. The cubic root of 230733360 is about 613.3430711539.

The spelling of 230733360 in words is "two hundred thirty million, seven hundred thirty-three thousand, three hundred sixty".