204406400 has 96 divisors (see below), whose sum is σ = 550946880. Its totient is φ = 74316800.

The previous prime is 204406393. The next prime is 204406403. The reversal of 204406400 is 4604402.

204406400 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 (20).

It is not an unprimeable number, because it can be changed into a prime (204406403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32297 + ... + 38103.

It is an arithmetic number, because the mean of its divisors is an integer number (5739030).

Almost surely, 2^204406400 is an apocalyptic number.

204406400 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 204406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275473440).

204406400 is an abundant number, since it is smaller than the sum of its proper divisors (346540480).

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

204406400 is a wasteful number, since it uses less digits than its factorization.

204406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 204406400 is about 14297.0766242613. The cubic root of 204406400 is about 589.0671843868.

It can be divided in two parts, 204 and 406400, that added together give a palindrome (406604).

The spelling of 204406400 in words is "two hundred four million, four hundred six thousand, four hundred".