205540456 has 64 divisors (see below), whose sum is σ = 433589760. Its totient is φ = 90552000.

The previous prime is 205540403. The next prime is 205540457. The reversal of 205540456 is 654045502.

It is not an unprimeable number, because it can be changed into a prime (205540457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418371 + ... + 418861.

It is an arithmetic number, because the mean of its divisors is an integer number (6774840).

Almost surely, 2^205540456 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 205540456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216794880).

205540456 is an abundant number, since it is smaller than the sum of its proper divisors (228049304).

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

205540456 is a wasteful number, since it uses less digits than its factorization.

205540456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 205540456 is about 14336.6821824298. The cubic root of 205540456 is about 590.1545664173.

Adding to 205540456 its reverse (654045502), we get a palindrome (859585958).

The spelling of 205540456 in words is "two hundred five million, five hundred forty thousand, four hundred fifty-six".