204305431200 has 144 divisors (see below), whose sum is σ = 716169224736. Its totient is φ = 50290560000.

The previous prime is 204305431199. The next prime is 204305431237. The reversal of 204305431200 is 2134503402.

204305431200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3242926 + ... + 3305325.

It is an arithmetic number, because the mean of its divisors is an integer number (4973397394).

Almost surely, 2^204305431200 is an apocalyptic number.

204305431200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204305431200 is an abundant number, since it is smaller than the sum of its proper divisors (511863793536).

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

204305431200 is a wasteful number, since it uses less digits than its factorization.

204305431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548287 (or 6548274 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 204305431200 its reverse (2134503402), we get a palindrome (206439934602).

The spelling of 204305431200 in words is "two hundred four billion, three hundred five million, four hundred thirty-one thousand, two hundred".