204850944 has 216 divisors, whose sum is σ = 636133680. Its totient is φ = 65691648.

The previous prime is 204850939. The next prime is 204850973. The reversal of 204850944 is 449058402.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×204850944² = 83927818515382272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204850899 and 204850908.

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 23 ways as a sum of consecutive naturals, for example, 2301652 + ... + 2301740.

Almost surely, 2^204850944 is an apocalyptic number.

204850944 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 204850944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318066840).

204850944 is an abundant number, since it is smaller than the sum of its proper divisors (431282736).

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

204850944 is an frugal number, since it uses more digits than its factorization.

204850944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 204850944 is about 14312.6148554343. The cubic root of 204850944 is about 589.4939105484.

The spelling of 204850944 in words is "two hundred four million, eight hundred fifty thousand, nine hundred forty-four".