204049440 has 288 divisors, whose sum is σ = 822721536. Its totient is φ = 45066240.

The previous prime is 204049429. The next prime is 204049457. The reversal of 204049440 is 44940402.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312154 + ... + 312806.

It is an arithmetic number, because the mean of its divisors is an integer number (2856672).

Almost surely, 2^204049440 is an apocalyptic number.

204049440 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 204049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411360768).

204049440 is an abundant number, since it is smaller than the sum of its proper divisors (618672096).

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

204049440 is a wasteful number, since it uses less digits than its factorization.

204049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 204049440 is about 14284.5874984194. The cubic root of 204049440 is about 588.7240836767.

Adding to 204049440 its reverse (44940402), we get a palindrome (248989842).

The spelling of 204049440 in words is "two hundred four million, forty-nine thousand, four hundred forty".