460385885817 has 144 divisors (see below), whose sum is σ = 835291731456. Its totient is φ = 240637824000.

The previous prime is 460385885809. The next prime is 460385885851. The reversal of 460385885817 is 718588583064.

460385885817 is a `hidden beast` number, since 4 + 6 + 0 + 38 + 588 + 5 + 8 + 17 = 666.

460385885817 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 460385885817 - 2³ = 460385885809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (460385885117) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33546517 + ... + 33560237.

It is an arithmetic number, because the mean of its divisors is an integer number (5800637024).

Almost surely, 2^460385885817 is an apocalyptic number.

It is an amenable number.

460385885817 is a deficient number, since it is larger than the sum of its proper divisors (374905845639).

460385885817 is a wasteful number, since it uses less digits than its factorization.

460385885817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13840 (or 13808 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 460385885817 in words is "four hundred sixty billion, three hundred eighty-five million, eight hundred eighty-five thousand, eight hundred seventeen".