230054529600 has 567 divisors, whose sum is σ = 952833657321. Its totient is φ = 52491801600.

The previous prime is 230054529589. The next prime is 230054529623. The reversal of 230054529600 is 6925450032.

The square root of 230054529600 is 479640.

It is a perfect power (a square), and thus also a powerful number.

230054529600 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 5 + 45 + 2 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82819630656 + 147234898944 = 287784^2 + 383712^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 402897315 + ... + 402897885.

Almost surely, 2^230054529600 is an apocalyptic number.

230054529600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

230054529600 is the 479640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230054529600

230054529600 is an abundant number, since it is smaller than the sum of its proper divisors (722779127721).

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

230054529600 is an equidigital number, since it uses as much as digits as its factorization.

230054529600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 230054529600 by its sum of digits (36), we get a square (8281963065600 = 2877840²).

230054529600 divided by its sum of digits (36) gives a square (6390403600 = 79940²).

Adding to 230054529600 its reverse (6925450032), we get a palindrome (236979979632).

The spelling of 230054529600 in words is "two hundred thirty billion, fifty-four million, five hundred twenty-nine thousand, six hundred".