450840289 has 9 divisors (see below), whose sum is σ = 479304057. Its totient is φ = 423980544.

The previous prime is 450840287. The next prime is 450840307. The reversal of 450840289 is 982048054.

The square root of 450840289 is 21233.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18533025 + 432307264 = 4305^2 + 20792^2 .

It is not a de Polignac number, because 450840289 - 2¹ = 450840287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450840287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 360337 + ... + 361585.

Almost surely, 2^450840289 is an apocalyptic number.

450840289 is the 21233-rd square number.

450840289 is the 10617-th centered octagonal number.

It is an amenable number.

450840289 is a deficient number, since it is larger than the sum of its proper divisors (28463768).

450840289 is an frugal number, since it uses more digits than its factorization.

450840289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The cubic root of 450840289 is about 766.7861146172.

The spelling of 450840289 in words is "four hundred fifty million, eight hundred forty thousand, two hundred eighty-nine".