459716481 has 27 divisors (see below), whose sum is σ = 773206083. Its totient is φ = 262437840.

The previous prime is 459716473. The next prime is 459716503. The reversal of 459716481 is 184617954.

The square root of 459716481 is 21441.

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

459716481 is a `hidden beast` number, since 4 + 597 + 16 + 48 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 267616881 + 192099600 = 16359^2 + 13860^2 .

It is not a de Polignac number, because 459716481 - 2³ = 459716473 is a prime.

It is a super-2 number, since 2×459716481² = 422678485806046722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (459716401) 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, 449751 + ... + 450771.

Almost surely, 2^459716481 is an apocalyptic number.

459716481 is the 21441-st square number.

459716481 is the 10721-st centered octagonal number.

It is an amenable number.

459716481 is a deficient number, since it is larger than the sum of its proper divisors (313489602).

459716481 is an equidigital number, since it uses as much as digits as its factorization.

459716481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 1031 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The cubic root of 459716481 is about 771.7856355119.

The spelling of 459716481 in words is "four hundred fifty-nine million, seven hundred sixteen thousand, four hundred eighty-one".