205242884 has 48 divisors (see below), whose sum is σ = 458752896. Its totient is φ = 78009600.

The previous prime is 205242797. The next prime is 205242899. The reversal of 205242884 is 488242502.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4502 + ... + 20754.

It is an arithmetic number, because the mean of its divisors is an integer number (9557352).

Almost surely, 2^205242884 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 205242884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229376448).

205242884 is an abundant number, since it is smaller than the sum of its proper divisors (253510012).

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

205242884 is a wasteful number, since it uses less digits than its factorization.

205242884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16316 (or 16314 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 205242884 is about 14326.3004296294. The cubic root of 205242884 is about 589.8696293387.

The spelling of 205242884 in words is "two hundred five million, two hundred forty-two thousand, eight hundred eighty-four".