459237984241 has 9 divisors (see below), whose sum is σ = 487853280331. Its totient is φ = 432213142432.

The previous prime is 459237984229. The next prime is 459237984287. The reversal of 459237984241 is 142489732954.

The square root of 459237984241 is 677671.

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., 357538223025 + 101699761216 = 597945^2 + 318904^2 .

It is not a de Polignac number, because 459237984241 - 2²⁵ = 459204429809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (459237984641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11500476 + ... + 11540338.

Almost surely, 2^459237984241 is an apocalyptic number.

459237984241 is the 677671-st square number.

459237984241 is the 338836-th centered octagonal number.

It is an amenable number.

459237984241 is a deficient number, since it is larger than the sum of its proper divisors (28615296090).

459237984241 is an frugal number, since it uses more digits than its factorization.

459237984241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79760 (or 39880 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 58.

The spelling of 459237984241 in words is "four hundred fifty-nine billion, two hundred thirty-seven million, nine hundred eighty-four thousand, two hundred forty-one".