205979904 has 243 divisors, whose sum is σ = 672264957. Its totient is φ = 60622848.

The previous prime is 205979867. The next prime is 205979923. The reversal of 205979904 is 409979502.

The square root of 205979904 is 14352.

It is a perfect power (a square), and thus also a powerful number.

205979904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30470400 + 175509504 = 5520^2 + 13248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 205979904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8955637 + ... + 8955659.

Almost surely, 2^205979904 is an apocalyptic number.

205979904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

205979904 is the 14352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205979904

205979904 is an abundant number, since it is smaller than the sum of its proper divisors (466285053).

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

205979904 is a wasteful number, since it uses less digits than its factorization.

205979904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The cubic root of 205979904 is about 590.5748529188.

The spelling of 205979904 in words is "two hundred five million, nine hundred seventy-nine thousand, nine hundred four".