204438464 has 56 divisors (see below), whose sum is σ = 440119008. Its totient is φ = 93839360.

The previous prime is 204438463. The next prime is 204438497. The reversal of 204438464 is 464834402.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204438463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42317 + ... + 46899.

It is an arithmetic number, because the mean of its divisors is an integer number (7859268).

Almost surely, 2^204438464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220059504).

204438464 is an abundant number, since it is smaller than the sum of its proper divisors (235680544).

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

204438464 is a wasteful number, since it uses less digits than its factorization.

204438464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The square root of 204438464 is about 14298.1979284104. The cubic root of 204438464 is about 589.0979839160.

The spelling of 204438464 in words is "two hundred four million, four hundred thirty-eight thousand, four hundred sixty-four".