204444120 has 64 divisors (see below), whose sum is σ = 618801120. Its totient is φ = 54032384.

The previous prime is 204444109. The next prime is 204444127. The reversal of 204444120 is 21444402.

204444120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204444127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6022 + ... + 21098.

Almost surely, 2^204444120 is an apocalyptic number.

204444120 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 204444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309400560).

204444120 is an abundant number, since it is smaller than the sum of its proper divisors (414357000).

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

204444120 is a wasteful number, since it uses less digits than its factorization.

204444120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15204 (or 15200 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 204444120 is about 14298.3957142051. The cubic root of 204444120 is about 589.1034165327.

Adding to 204444120 its reverse (21444402), we get a palindrome (225888522).

It can be divided in two parts, 2044 and 44120, that added together give a palindrome (46164).

The spelling of 204444120 in words is "two hundred four million, four hundred forty-four thousand, one hundred twenty".