450406348482841 has 27 divisors (see below), whose sum is σ = 467596975460157. Its totient is φ = 433841141784960.

The previous prime is 450406348482709. The next prime is 450406348482847. The reversal of 450406348482841 is 148284843604054.

The square root of 450406348482841 is 21222779.

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 64122858905625 + 386283489577216 = 8007675^2 + 19654096^2 .

It is not a de Polignac number, because 450406348482841 - 2²⁷ = 450406214265113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 450406348482841.

It is not an unprimeable number, because it can be changed into a prime (450406348482847) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66618299901 + ... + 66618306661.

Almost surely, 2^{450406348482841} is an apocalyptic number.

450406348482841 is the 21222779-th square number.

450406348482841 is the 10611390-th centered octagonal number.

It is an amenable number.

450406348482841 is a deficient number, since it is larger than the sum of its proper divisors (17190626977316).

450406348482841 is an frugal number, since it uses more digits than its factorization.

450406348482841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13754 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 61.

The spelling of 450406348482841 in words is "four hundred fifty trillion, four hundred six billion, three hundred forty-eight million, four hundred eighty-two thousand, eight hundred forty-one".