205441056 has 192 divisors, whose sum is σ = 646652160. Its totient is φ = 63221760.

The previous prime is 205441013. The next prime is 205441063. The reversal of 205441056 is 650144502.

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

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 31 ways as a sum of consecutive naturals, for example, 1042750 + ... + 1042946.

It is an arithmetic number, because the mean of its divisors is an integer number (3367980).

Almost surely, 2^205441056 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 205441056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323326080).

205441056 is an abundant number, since it is smaller than the sum of its proper divisors (441211104).

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

205441056 is a wasteful number, since it uses less digits than its factorization.

205441056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 205441056 is about 14333.2151312956. The cubic root of 205441056 is about 590.0594175533.

Adding to 205441056 its reverse (650144502), we get a palindrome (855585558).

The spelling of 205441056 in words is "two hundred five million, four hundred forty-one thousand, fifty-six".