230044304000 has 512 divisors, whose sum is σ = 686787379200. Its totient is φ = 74967552000.

The previous prime is 230044303981. The next prime is 230044304033. The reversal of 230044304000 is 403440032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204847439 + ... + 204848561.

It is an arithmetic number, because the mean of its divisors is an integer number (1341381600).

Almost surely, 2^230044304000 is an apocalyptic number.

230044304000 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 230044304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343393689600).

230044304000 is an abundant number, since it is smaller than the sum of its proper divisors (456743075200).

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

230044304000 is a wasteful number, since it uses less digits than its factorization.

230044304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 230044304000 its reverse (403440032), we get a palindrome (230447744032).

The spelling of 230044304000 in words is "two hundred thirty billion, forty-four million, three hundred four thousand".