204585992 has 36 divisors (see below), whose sum is σ = 416446695. Its totient is φ = 94181568.

The previous prime is 204585967. The next prime is 204586049. The reversal of 204585992 is 299585402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2775556 + 201810436 = 1666^2 + 14206^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10114.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 525734 + ... + 526122.

Almost surely, 2^204585992 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 204585992

204585992 is an abundant number, since it is smaller than the sum of its proper divisors (211860703).

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

204585992 is an equidigital number, since it uses as much as digits as its factorization.

204585992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 204585992 is about 14303.3559698415. The cubic root of 204585992 is about 589.2396525448.

Multiplying 204585992 by its product of nonzero digits (259200), we get a square (53028689126400 = 7282080²).

The spelling of 204585992 in words is "two hundred four million, five hundred eighty-five thousand, nine hundred ninety-two".