205089408 has 160 divisors (see below), whose sum is σ = 619074720. Its totient is φ = 67392000.

The previous prime is 205089373. The next prime is 205089419. The reversal of 205089408 is 804980502.

205089408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 1358133 + ... + 1358283.

It is an arithmetic number, because the mean of its divisors is an integer number (3869217).

Almost surely, 2^205089408 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 205089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309537360).

205089408 is an abundant number, since it is smaller than the sum of its proper divisors (413985312).

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

205089408 is a wasteful number, since it uses less digits than its factorization.

205089408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 205089408 is about 14320.9429857115. The cubic root of 205089408 is about 589.7225622728.

The spelling of 205089408 in words is "two hundred five million, eighty-nine thousand, four hundred eight".