204401440 has 96 divisors (see below), whose sum is σ = 496903680. Its totient is φ = 79432704.

The previous prime is 204401419. The next prime is 204401447. The reversal of 204401440 is 44104402.

It is not an unprimeable number, because it can be changed into a prime (204401447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1301842 + ... + 1301998.

It is an arithmetic number, because the mean of its divisors is an integer number (5176080).

Almost surely, 2^204401440 is an apocalyptic number.

204401440 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 204401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248451840).

204401440 is an abundant number, since it is smaller than the sum of its proper divisors (292502240).

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

204401440 is a wasteful number, since it uses less digits than its factorization.

204401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

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

The square root of 204401440 is about 14296.9031611745. The cubic root of 204401440 is about 589.0624197009.

Adding to 204401440 its reverse (44104402), we get a palindrome (248505842).

The spelling of 204401440 in words is "two hundred four million, four hundred one thousand, four hundred forty".