205350440 has 32 divisors (see below), whose sum is σ = 482129280. Its totient is φ = 78568512.

The previous prime is 205350437. The next prime is 205350449. The reversal of 205350440 is 44053502.

205350440 = T₁₈₃₂ + T₁₈₃₃ + ... + T₁₉₄₆.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (205350449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110684 + ... + 112523.

It is an arithmetic number, because the mean of its divisors is an integer number (15066540).

Almost surely, 2^205350440 is an apocalyptic number.

205350440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205350440 is an abundant number, since it is smaller than the sum of its proper divisors (276778840).

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

205350440 is a wasteful number, since it uses less digits than its factorization.

205350440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223241 (or 223237 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 205350440 is about 14330.0537333256. The cubic root of 205350440 is about 589.9726502691.

The spelling of 205350440 in words is "two hundred five million, three hundred fifty thousand, four hundred forty".