204431440 has 40 divisors (see below), whose sum is σ = 491698440. Its totient is φ = 78951936.

The previous prime is 204431389. The next prime is 204431449. The reversal of 204431440 is 44134402.

204431440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 62916624 + 141514816 = 7932^2 + 11896^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204431449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41739 + ... + 46378.

It is an arithmetic number, because the mean of its divisors is an integer number (12292461).

Almost surely, 2^204431440 is an apocalyptic number.

204431440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204431440 is an abundant number, since it is smaller than the sum of its proper divisors (287267000).

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

204431440 is a wasteful number, since it uses less digits than its factorization.

204431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88159 (or 88153 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 204431440 is about 14297.9523009416. The cubic root of 204431440 is about 589.0912371888.

Adding to 204431440 its reverse (44134402), we get a palindrome (248565842).

The spelling of 204431440 in words is "two hundred four million, four hundred thirty-one thousand, four hundred forty".