459746710401 has 16 divisors (see below), whose sum is σ = 668836479168. Its totient is φ = 278586873600.

The previous prime is 459746710399. The next prime is 459746710403. The reversal of 459746710401 is 104017647954.

It is an interprime number because it is at equal distance from previous prime (459746710399) and next prime (459746710403).

It is not a de Polignac number, because 459746710401 - 2¹ = 459746710399 is a prime.

It is a super-2 number, since 2×459746710401² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (459746710403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990396 + ... + 1378541.

It is an arithmetic number, because the mean of its divisors is an integer number (41802279948).

Almost surely, 2^459746710401 is an apocalyptic number.

It is an amenable number.

459746710401 is a deficient number, since it is larger than the sum of its proper divisors (209089768767).

459746710401 is a wasteful number, since it uses less digits than its factorization.

459746710401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374832.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 459746710401 in words is "four hundred fifty-nine billion, seven hundred forty-six million, seven hundred ten thousand, four hundred one".