205540416 has 140 divisors (see below), whose sum is σ = 629432320. Its totient is φ = 66251520.

The previous prime is 205540403. The next prime is 205540457. The reversal of 205540416 is 614045502.

205540416 is a `hidden beast` number, since 205 + 5 + 40 + 416 = 666.

205540416 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 205540416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160065 + ... + 161343.

Almost surely, 2^205540416 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 205540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314716160).

205540416 is an abundant number, since it is smaller than the sum of its proper divisors (423891904).

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

205540416 is a wasteful number, since it uses less digits than its factorization.

205540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 205540416 is about 14336.6807874068. The cubic root of 205540416 is about 590.1545281342.

Adding to 205540416 its reverse (614045502), we get a palindrome (819585918).

The spelling of 205540416 in words is "two hundred five million, five hundred forty thousand, four hundred sixteen".