205485200 has 60 divisors (see below), whose sum is σ = 502103280. Its totient is φ = 80791680.

The previous prime is 205485193. The next prime is 205485221. The reversal of 205485200 is 2584502.

205485200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205485200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19247 + ... + 27953.

It is an arithmetic number, because the mean of its divisors is an integer number (8368388).

Almost surely, 2^205485200 is an apocalyptic number.

205485200 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 205485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251051640).

205485200 is an abundant number, since it is smaller than the sum of its proper divisors (296618080).

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

205485200 is a wasteful number, since it uses less digits than its factorization.

205485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8784 (or 8773 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 205485200 is about 14334.7549682581. The cubic root of 205485200 is about 590.1016773917.

The spelling of 205485200 in words is "two hundred five million, four hundred eighty-five thousand, two hundred".