204983856 has 360 divisors, whose sum is σ = 771825600. Its totient is φ = 50077440.

The previous prime is 204983839. The next prime is 204983879. The reversal of 204983856 is 658389402.

204983856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1474635 + ... + 1474773.

It is an arithmetic number, because the mean of its divisors is an integer number (2143960).

Almost surely, 2^204983856 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 204983856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385912800).

204983856 is an abundant number, since it is smaller than the sum of its proper divisors (566841744).

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

204983856 is a wasteful number, since it uses less digits than its factorization.

204983856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 204983856 is about 14317.2572792417. The cubic root of 204983856 is about 589.6213753836.

It can be divided in two parts, 2049 and 83856, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 204983856 in words is "two hundred four million, nine hundred eighty-three thousand, eight hundred fifty-six".