445083409 has 15 divisors (see below), whose sum is σ = 479467623. Its totient is φ = 413163648.

The previous prime is 445083407. The next prime is 445083427. The reversal of 445083409 is 904380544.

The square root of 445083409 is 21097.

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

It can be written as a sum of positive squares in 7 ways, for example, as 7102225 + 437981184 = 2665^2 + 20928^2 .

It is not a de Polignac number, because 445083409 - 2¹ = 445083407 is a prime.

It is a super-2 number, since 2×445083409² = 396198481934122562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (445083403) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6096997 + ... + 6097069.

Almost surely, 2^445083409 is an apocalyptic number.

445083409 is the 21097-th square number.

445083409 is the 10549-th centered octagonal number.

It is an amenable number.

445083409 is a deficient number, since it is larger than the sum of its proper divisors (34384214).

445083409 is an frugal number, since it uses more digits than its factorization.

445083409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The cubic root of 445083409 is about 763.5083691627.

The spelling of 445083409 in words is "four hundred forty-five million, eighty-three thousand, four hundred nine".