204442400 has 144 divisors (see below), whose sum is σ = 535465728. Its totient is φ = 76032000.

The previous prime is 204442387. The next prime is 204442409. The reversal of 204442400 is 4244402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204442409) 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, 754265 + ... + 754535.

It is an arithmetic number, because the mean of its divisors is an integer number (3718512).

Almost surely, 2^204442400 is an apocalyptic number.

204442400 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 204442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267732864).

204442400 is an abundant number, since it is smaller than the sum of its proper divisors (331023328).

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

204442400 is a wasteful number, since it uses less digits than its factorization.

204442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 204442400 is about 14298.3355674708. The cubic root of 204442400 is about 589.1017644746.

Adding to 204442400 its reverse (4244402), we get a palindrome (208686802).

It can be divided in two parts, 2044 and 42400, that added together give a palindrome (44444).

The spelling of 204442400 in words is "two hundred four million, four hundred forty-two thousand, four hundred".