205304904 has 72 divisors (see below), whose sum is σ = 646826310. Its totient is φ = 58657536.

The previous prime is 205304887. The next prime is 205304941. The reversal of 205304904 is 409403502.

205304904 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., 175032900 + 30272004 = 13230^2 + 5502^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25569 + ... + 32624.

Almost surely, 2^205304904 is an apocalyptic number.

205304904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205304904 is an abundant number, since it is smaller than the sum of its proper divisors (441521406).

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

205304904 is a wasteful number, since it uses less digits than its factorization.

205304904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58219 (or 58205 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 205304904 is about 14328.4648165810. The cubic root of 205304904 is about 589.9290386742.

The spelling of 205304904 in words is "two hundred five million, three hundred four thousand, nine hundred four".