205430160 has 80 divisors (see below), whose sum is σ = 685831104. Its totient is φ = 50566656.

The previous prime is 205430083. The next prime is 205430177. The reversal of 205430160 is 61034502.

It is a happy number.

205430160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29802 + ... + 36041.

Almost surely, 2^205430160 is an apocalyptic number.

205430160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205430160 is an abundant number, since it is smaller than the sum of its proper divisors (480400944).

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

205430160 is a wasteful number, since it uses less digits than its factorization.

205430160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65872 (or 65866 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 205430160 is about 14332.8350300978. The cubic root of 205430160 is about 590.0489856867.

Adding to 205430160 its reverse (61034502), we get a palindrome (266464662).

The spelling of 205430160 in words is "two hundred five million, four hundred thirty thousand, one hundred sixty".