205260804 has 120 divisors (see below), whose sum is σ = 626102400. Its totient is φ = 58614192.

The previous prime is 205260779. The next prime is 205260821. The reversal of 205260804 is 408062502.

205260804 is a `hidden beast` number, since 2 + 0 + 52 + 608 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110209 + ... + 112055.

It is an arithmetic number, because the mean of its divisors is an integer number (5217520).

Almost surely, 2^205260804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205260804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313051200).

205260804 is an abundant number, since it is smaller than the sum of its proper divisors (420841596).

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

205260804 is a wasteful number, since it uses less digits than its factorization.

205260804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 205260804 is about 14326.9258391324. The cubic root of 205260804 is about 589.8867962451.

The spelling of 205260804 in words is "two hundred five million, two hundred sixty thousand, eight hundred four".