205045904 has 80 divisors (see below), whose sum is σ = 475683840. Its totient is φ = 83773440.

The previous prime is 205045889. The next prime is 205045927. The reversal of 205045904 is 409540502.

205045904 = 42² + 43² + ... + 850².

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253052 + ... + 253860.

It is an arithmetic number, because the mean of its divisors is an integer number (5946048).

Almost surely, 2^205045904 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 205045904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237841920).

205045904 is an abundant number, since it is smaller than the sum of its proper divisors (270637936).

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

205045904 is a wasteful number, since it uses less digits than its factorization.

205045904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 205045904 is about 14319.4240107624. The cubic root of 205045904 is about 589.6808615907.

The spelling of 205045904 in words is "two hundred five million, forty-five thousand, nine hundred four".