204940928 has 64 divisors (see below), whose sum is σ = 424228200. Its totient is φ = 98537472.

The previous prime is 204940913. The next prime is 204940963. The reversal of 204940928 is 829049402.

It can be written as a sum of positive squares in 4 ways, for example, as 204833344 + 107584 = 14312^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 204940891 and 204940900.

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 7 ways as a sum of consecutive naturals, for example, 516026 + ... + 516422.

Almost surely, 2^204940928 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 204940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212114100).

204940928 is an abundant number, since it is smaller than the sum of its proper divisors (219287272).

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

204940928 is a wasteful number, since it uses less digits than its factorization.

204940928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 204940928 is about 14315.7580309252. The cubic root of 204940928 is about 589.5802127379.

The spelling of 204940928 in words is "two hundred four million, nine hundred forty thousand, nine hundred twenty-eight".