204414400 has 84 divisors (see below), whose sum is σ = 505983240. Its totient is φ = 81280000.

The previous prime is 204414299. The next prime is 204414449. The reversal of 204414400 is 4414402.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 401346 + ... + 401854.

It is an arithmetic number, because the mean of its divisors is an integer number (6023610).

Almost surely, 2^204414400 is an apocalyptic number.

204414400 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 204414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252991620).

204414400 is an abundant number, since it is smaller than the sum of its proper divisors (301568840).

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

204414400 is a wasteful number, since it uses less digits than its factorization.

204414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 204414400 is about 14297.3563989991. The cubic root of 204414400 is about 589.0748692016.

Adding to 204414400 its reverse (4414402), we get a palindrome (208828802).

The spelling of 204414400 in words is "two hundred four million, four hundred fourteen thousand, four hundred".