205380990 has 48 divisors (see below), whose sum is σ = 541528416. Its totient is φ = 53995200.

The previous prime is 205380977. The next prime is 205380997. The reversal of 205380990 is 99083502.

205380990 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205380997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9681 + ... + 22460.

It is an arithmetic number, because the mean of its divisors is an integer number (11281842).

Almost surely, 2^205380990 is an apocalyptic number.

205380990 is an abundant number, since it is smaller than the sum of its proper divisors (336147426).

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

205380990 is a wasteful number, since it uses less digits than its factorization.

205380990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32225 (or 32222 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 205380990 is about 14331.1196352553. The cubic root of 205380990 is about 590.0019055765.

The spelling of 205380990 in words is "two hundred five million, three hundred eighty thousand, nine hundred ninety".