230255760 has 320 divisors, whose sum is σ = 874229760. Its totient is φ = 48998400.

The previous prime is 230255747. The next prime is 230255771. The reversal of 230255760 is 67552032.

230255760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2279710 + ... + 2279810.

It is an arithmetic number, because the mean of its divisors is an integer number (2731968).

Almost surely, 2^230255760 is an apocalyptic number.

230255760 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 230255760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437114880).

230255760 is an abundant number, since it is smaller than the sum of its proper divisors (643974000).

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

230255760 is a wasteful number, since it uses less digits than its factorization.

230255760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 230255760 is about 15174.1807027595. The cubic root of 230255760 is about 612.9195881064.

The spelling of 230255760 in words is "two hundred thirty million, two hundred fifty-five thousand, seven hundred sixty".