204424420232400 has 120 divisors (see below), whose sum is σ = 656331223035840. Its totient is φ = 54389002782720.

The previous prime is 204424420232371. The next prime is 204424420232401. The reversal of 204424420232400 is 4232024424402.

It is a happy number.

204424420232400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204424420232401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193497897 + ... + 194551496.

It is an arithmetic number, because the mean of its divisors is an integer number (5469426858632).

Almost surely, 2^{204424420232400} is an apocalyptic number.

204424420232400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204424420232400 is an abundant number, since it is smaller than the sum of its proper divisors (451906802803440).

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

204424420232400 is a wasteful number, since it uses less digits than its factorization.

204424420232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388049853 (or 388049842 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 204424420232400 its reverse (4232024424402), we get a palindrome (208656444656802).

The spelling of 204424420232400 in words is "two hundred four trillion, four hundred twenty-four billion, four hundred twenty million, two hundred thirty-two thousand, four hundred".