230576908320 has 576 divisors, whose sum is σ = 877231555200. Its totient is φ = 54683320320.

The previous prime is 230576908297. The next prime is 230576908357. The reversal of 230576908320 is 23809675032.

230576908320 is a `hidden beast` number, since 230 + 5 + 7 + 6 + 90 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143303676 + ... + 143305284.

It is an arithmetic number, because the mean of its divisors is an integer number (1522971450).

Almost surely, 2^230576908320 is an apocalyptic number.

230576908320 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 230576908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438615777600).

230576908320 is an abundant number, since it is smaller than the sum of its proper divisors (646654646880).

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

230576908320 is a wasteful number, since it uses less digits than its factorization.

230576908320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 230576908320 in words is "two hundred thirty billion, five hundred seventy-six million, nine hundred eight thousand, three hundred twenty".