205440540 has 48 divisors (see below), whose sum is σ = 605512320. Its totient is φ = 51900480.

The previous prime is 205440533. The next prime is 205440551. The reversal of 205440540 is 45044502.

205440540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205440540.

It is a congruent number.

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, 88966 + ... + 91245.

It is an arithmetic number, because the mean of its divisors is an integer number (12614840).

Almost surely, 2^205440540 is an apocalyptic number.

205440540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205440540 is an abundant number, since it is smaller than the sum of its proper divisors (400071780).

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

205440540 is a wasteful number, since it uses less digits than its factorization.

205440540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180242 (or 180240 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 205440540 is about 14333.1971311358. The cubic root of 205440540 is about 590.0589235415.

The spelling of 205440540 in words is "two hundred five million, four hundred forty thousand, five hundred forty".