204433424200 has 96 divisors (see below), whose sum is σ = 478687397760. Its totient is φ = 81194009600.

The previous prime is 204433424183. The next prime is 204433424297. The reversal of 204433424200 is 2424334402.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16352352 + ... + 16364848.

It is an arithmetic number, because the mean of its divisors is an integer number (4986327060).

Almost surely, 2^204433424200 is an apocalyptic number.

204433424200 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 204433424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239343698880).

204433424200 is an abundant number, since it is smaller than the sum of its proper divisors (274253973560).

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

204433424200 is a wasteful number, since it uses less digits than its factorization.

204433424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13087 (or 13078 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 204433424200 its reverse (2424334402), we get a palindrome (206857758602).

The spelling of 204433424200 in words is "two hundred four billion, four hundred thirty-three million, four hundred twenty-four thousand, two hundred".