205099440 has 160 divisors (see below), whose sum is σ = 782616576. Its totient is φ = 43269120.

The previous prime is 205099421. The next prime is 205099451. The reversal of 205099440 is 44990502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17145 + ... + 26535.

Almost surely, 2^205099440 is an apocalyptic number.

205099440 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 205099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391308288).

205099440 is an abundant number, since it is smaller than the sum of its proper divisors (577517136).

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

205099440 is a wasteful number, since it uses less digits than its factorization.

205099440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9427 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 205099440 is about 14321.2932376933. The cubic root of 205099440 is about 589.7321775918.

The spelling of 205099440 in words is "two hundred five million, ninety-nine thousand, four hundred forty".