205416260 has 48 divisors (see below), whose sum is σ = 494363520. Its totient is φ = 70233600.

The previous prime is 205416241. The next prime is 205416301. The reversal of 205416260 is 62614502.

205416260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 54311 + ... + 57969.

It is an arithmetic number, because the mean of its divisors is an integer number (10299240).

Almost surely, 2^205416260 is an apocalyptic number.

205416260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205416260 is an abundant number, since it is smaller than the sum of its proper divisors (288947260).

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

205416260 is a wasteful number, since it uses less digits than its factorization.

205416260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 205416260 is about 14332.3501213165. The cubic root of 205416260 is about 590.0356772450.

The spelling of 205416260 in words is "two hundred five million, four hundred sixteen thousand, two hundred sixty".