205333304 has 64 divisors (see below), whose sum is σ = 444873600. Its totient is φ = 87868800.

The previous prime is 205333301. The next prime is 205333309. The reversal of 205333304 is 403333502.

It is a self number, because there is not a number n which added to its sum of digits gives 205333304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205333301) 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 15 ways as a sum of consecutive naturals, for example, 379274 + ... + 379814.

It is an arithmetic number, because the mean of its divisors is an integer number (6951150).

Almost surely, 2^205333304 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 205333304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222436800).

205333304 is an abundant number, since it is smaller than the sum of its proper divisors (239540296).

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

205333304 is a wasteful number, since it uses less digits than its factorization.

205333304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 23.

The square root of 205333304 is about 14329.4558166038. The cubic root of 205333304 is about 589.9562392134.

Adding to 205333304 its reverse (403333502), we get a palindrome (608666806).

The spelling of 205333304 in words is "two hundred five million, three hundred thirty-three thousand, three hundred four".