205288964 has 24 divisors (see below), whose sum is σ = 364354200. Its totient is φ = 101196800.

The previous prime is 205288877. The next prime is 205288969. The reversal of 205288964 is 469882502.

It can be written as a sum of positive squares in 4 ways, for example, as 33154564 + 172134400 = 5758^2 + 13120^2 .

It is not an unprimeable number, because it can be changed into a prime (205288969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107732 + ... + 109620.

It is an arithmetic number, because the mean of its divisors is an integer number (15181425).

Almost surely, 2^205288964 is an apocalyptic number.

It is an amenable number.

205288964 is a deficient number, since it is larger than the sum of its proper divisors (159065236).

205288964 is a wasteful number, since it uses less digits than its factorization.

205288964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 205288964 is about 14327.9085703392. The cubic root of 205288964 is about 589.9137707937.

It can be divided in two parts, 20528 and 8964, that added together give a palindrome (29492).

The spelling of 205288964 in words is "two hundred five million, two hundred eighty-eight thousand, nine hundred sixty-four".