230726306304 has 480 divisors, whose sum is σ = 752130878400. Its totient is φ = 69785763840.

The previous prime is 230726306303. The next prime is 230726306311. The reversal of 230726306304 is 403603627032.

230726306304 is a `hidden beast` number, since 23 + 0 + 7 + 26 + 306 + 304 = 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 (230726306303) 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, 142510807 + ... + 142512425.

It is an arithmetic number, because the mean of its divisors is an integer number (1566939330).

Almost surely, 2^230726306304 is an apocalyptic number.

230726306304 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 230726306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376065439200).

230726306304 is an abundant number, since it is smaller than the sum of its proper divisors (521404572096).

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

230726306304 is a wasteful number, since it uses less digits than its factorization.

230726306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 230726306304 in words is "two hundred thirty billion, seven hundred twenty-six million, three hundred six thousand, three hundred four".