204889344 has 144 divisors (see below), whose sum is σ = 604369920. Its totient is φ = 61102080.

The previous prime is 204889339. The next prime is 204889393. The reversal of 204889344 is 443988402.

It is a junction number, because it is equal to n+sod(n) for n = 204889296 and 204889305.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 667239 + ... + 667545.

Almost surely, 2^204889344 is an apocalyptic number.

204889344 is a gapful number since it is divisible by the number (24) 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 204889344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302184960).

204889344 is an abundant number, since it is smaller than the sum of its proper divisors (399480576).

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

204889344 is a wasteful number, since it uses less digits than its factorization.

204889344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 204889344 is about 14313.9562665253. The cubic root of 204889344 is about 589.5307424539.

The spelling of 204889344 in words is "two hundred four million, eight hundred eighty-nine thousand, three hundred forty-four".