440874009 has 15 divisors (see below), whose sum is σ = 658871983. Its totient is φ = 293790024.

The previous prime is 440873987. The next prime is 440874011. The reversal of 440874009 is 900478044.

The square root of 440874009 is 20997.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 150921225 + 289952784 = 12285^2 + 17028^2 .

It is not a de Polignac number, because 440874009 - 2⁵ = 440873977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (440874029) 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 14 ways as a sum of consecutive naturals, for example, 187807 + ... + 190139.

Almost surely, 2^440874009 is an apocalyptic number.

440874009 is the 20997-th square number.

440874009 is the 10499-th centered octagonal number.

It is an amenable number.

440874009 is a deficient number, since it is larger than the sum of its proper divisors (217997974).

440874009 is an frugal number, since it uses more digits than its factorization.

440874009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 440874009 is about 761.0937673510.

Multiplying 440874009 by its sum of digits (36), we get a square (15871464324 = 125982²).

The spelling of 440874009 in words is "four hundred forty million, eight hundred seventy-four thousand, nine".