205050560 has 112 divisors (see below), whose sum is σ = 573767712. Its totient is φ = 68812800.

The previous prime is 205050557. The next prime is 205050623. The reversal of 205050560 is 65050502.

It is a super-3 number, since 3×205050560³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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, 43520 + ... + 48000.

It is an arithmetic number, because the mean of its divisors is an integer number (5122926).

Almost surely, 2^205050560 is an apocalyptic number.

205050560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286883856).

205050560 is an abundant number, since it is smaller than the sum of its proper divisors (368717152).

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

205050560 is a wasteful number, since it uses less digits than its factorization.

205050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 205050560 is about 14319.5865862112. The cubic root of 205050560 is about 589.6853248731.

The spelling of 205050560 in words is "two hundred five million, fifty thousand, five hundred sixty".