204324414 has 64 divisors (see below), whose sum is σ = 481766400. Its totient is φ = 57741600.

The previous prime is 204324413. The next prime is 204324431. The reversal of 204324414 is 414423402.

It is a happy number.

204324414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204324413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207367 + ... + 208349.

It is an arithmetic number, because the mean of its divisors is an integer number (7527600).

Almost surely, 2^204324414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204324414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240883200).

204324414 is an abundant number, since it is smaller than the sum of its proper divisors (277441986).

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

204324414 is a wasteful number, since it uses less digits than its factorization.

204324414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 204324414 is about 14294.2091071874. The cubic root of 204324414 is about 588.9884169239.

Adding to 204324414 its reverse (414423402), we get a palindrome (618747816).

The spelling of 204324414 in words is "two hundred four million, three hundred twenty-four thousand, four hundred fourteen".