230379052320 has 864 divisors, whose sum is σ = 889685596800. Its totient is φ = 54086123520.

The previous prime is 230379052273. The next prime is 230379052333. The reversal of 230379052320 is 23250973032.

230379052320 is a `hidden beast` number, since 23 + 0 + 3 + 7 + 90 + 523 + 20 = 666.

It is a super-2 number, since 2×230379052320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1157683581 + ... + 1157683779.

It is an arithmetic number, because the mean of its divisors is an integer number (1029728700).

Almost surely, 2^230379052320 is an apocalyptic number.

230379052320 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 230379052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444842798400).

230379052320 is an abundant number, since it is smaller than the sum of its proper divisors (659306544480).

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

230379052320 is a wasteful number, since it uses less digits than its factorization.

230379052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 230379052320 in words is "two hundred thirty billion, three hundred seventy-nine million, fifty-two thousand, three hundred twenty".