205489872 has 100 divisors (see below), whose sum is σ = 679741216. Its totient is φ = 58708800.

The previous prime is 205489859. The next prime is 205489877. The reversal of 205489872 is 278984502.

205489872 is a `hidden beast` number, since 20 + 548 + 9 + 87 + 2 = 666.

205489872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205489877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2254 + ... + 20397.

Almost surely, 2^205489872 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 205489872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339870608).

205489872 is an abundant number, since it is smaller than the sum of its proper divisors (474251344).

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

205489872 is a wasteful number, since it uses less digits than its factorization.

205489872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22678 (or 22663 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 205489872 is about 14334.9179279129. The cubic root of 205489872 is about 590.1061496264.

The spelling of 205489872 in words is "two hundred five million, four hundred eighty-nine thousand, eight hundred seventy-two".