205859407 has 24 divisors (see below), whose sum is σ = 234638208. Its totient is φ = 180180000.

The previous prime is 205859393. The next prime is 205859411. The reversal of 205859407 is 704958502.

It is not a de Polignac number, because 205859407 - 2⁷ = 205859279 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205859407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205859707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820032 + ... + 820282.

It is an arithmetic number, because the mean of its divisors is an integer number (9776592).

Almost surely, 2^205859407 is an apocalyptic number.

205859407 is a deficient number, since it is larger than the sum of its proper divisors (28778801).

205859407 is a wasteful number, since it uses less digits than its factorization.

205859407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 205859407 is about 14347.8014692147. The cubic root of 205859407 is about 590.4596695478.

It can be divided in two parts, 20585 and 9407, that added together give a palindrome (29992).

The spelling of 205859407 in words is "two hundred five million, eight hundred fifty-nine thousand, four hundred seven".