205534240 has 48 divisors (see below), whose sum is σ = 486826200. Its totient is φ = 82001920.

The previous prime is 205534213. The next prime is 205534249. The reversal of 205534240 is 42435502.

It can be written as a sum of positive squares in 4 ways, for example, as 177528976 + 28005264 = 13324^2 + 5292^2 .

It is not an unprimeable number, because it can be changed into a prime (205534249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 70410 + ... + 73270.

Almost surely, 2^205534240 is an apocalyptic number.

205534240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205534240 is an abundant number, since it is smaller than the sum of its proper divisors (281291960).

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

205534240 is a wasteful number, since it uses less digits than its factorization.

205534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 205534240 is about 14336.4653942316. The cubic root of 205534240 is about 590.1486171623.

Adding to 205534240 its reverse (42435502), we get a palindrome (247969742).

The spelling of 205534240 in words is "two hundred five million, five hundred thirty-four thousand, two hundred forty".