205460900 has 18 divisors (see below), whose sum is σ = 445850370. Its totient is φ = 82184320.

The previous prime is 205460897. The next prime is 205460971. The reversal of 205460900 is 9064502.

205460900 is digitally balanced in base 2, 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 3 ways, for example, as 24127744 + 181333156 = 4912^2 + 13466^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 205460900.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1027205 + ... + 1027404.

It is an arithmetic number, because the mean of its divisors is an integer number (24769465).

Almost surely, 2^205460900 is an apocalyptic number.

205460900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205460900 is an abundant number, since it is smaller than the sum of its proper divisors (240389470).

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

205460900 is a wasteful number, since it uses less digits than its factorization.

205460900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054623 (or 2054616 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 205460900 is about 14333.9073528470. The cubic root of 205460900 is about 590.0784153173.

The spelling of 205460900 in words is "two hundred five million, four hundred sixty thousand, nine hundred".