459716401 has 2 divisors, whose sum is σ = 459716402. Its totient is φ = 459716400.

The previous prime is 459716399. The next prime is 459716407. The reversal of 459716401 is 104617954.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 283888801 + 175827600 = 16849^2 + 13260^2 .

It is a cyclic number.

It is not a de Polignac number, because 459716401 - 2¹ = 459716399 is a prime.

It is a super-2 number, since 2×459716401² = 422678338696785602, which contains 22 as substring.

Together with 459716399, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (459716407) 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 as a sum of consecutive naturals, namely, 229858200 + 229858201.

It is an arithmetic number, because the mean of its divisors is an integer number (229858201).

Almost surely, 2^459716401 is an apocalyptic number.

It is an amenable number.

459716401 is a deficient number, since it is larger than the sum of its proper divisors (1).

459716401 is an equidigital number, since it uses as much as digits as its factorization.

459716401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 459716401 is about 21440.9981344153. The cubic root of 459716401 is about 771.7855907431.

The spelling of 459716401 in words is "four hundred fifty-nine million, seven hundred sixteen thousand, four hundred one".