230859468960 has 48 divisors (see below), whose sum is σ = 727207328736. Its totient is φ = 61562524928.

The previous prime is 230859468949. The next prime is 230859468977. The reversal of 230859468960 is 69864958032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 230859468894 and 230859468903.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240478134 + ... + 240479093.

It is an arithmetic number, because the mean of its divisors is an integer number (15150152682).

Almost surely, 2^230859468960 is an apocalyptic number.

230859468960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230859468960 is an abundant number, since it is smaller than the sum of its proper divisors (496347859776).

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

230859468960 is a wasteful number, since it uses less digits than its factorization.

230859468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480957245 (or 480957237 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 230859468960 in words is "two hundred thirty billion, eight hundred fifty-nine million, four hundred sixty-eight thousand, nine hundred sixty".