205880409 has 36 divisors (see below), whose sum is σ = 364157040. Its totient is φ = 111449520.

The previous prime is 205880401. The next prime is 205880453. The reversal of 205880409 is 904088502.

205880409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205880409 - 2³ = 205880401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205880401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3907 + ... + 20664.

Almost surely, 2^205880409 is an apocalyptic number.

It is an amenable number.

205880409 is a deficient number, since it is larger than the sum of its proper divisors (158276631).

205880409 is a wasteful number, since it uses less digits than its factorization.

205880409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24610 (or 24600 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 205880409 is about 14348.5333396832. The cubic root of 205880409 is about 590.4797486437.

The spelling of 205880409 in words is "two hundred five million, eight hundred eighty thousand, four hundred nine".