460641803085 has 24 divisors (see below), whose sum is σ = 798461865240. Its totient is φ = 245670682752.

The previous prime is 460641803077. The next prime is 460641803117. The reversal of 460641803085 is 580308146064.

460641803085 is a `hidden beast` number, since 4 + 606 + 4 + 1 + 8 + 0 + 30 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 357473647881 + 103168155204 = 597891^2 + 321198^2 .

It is not a de Polignac number, because 460641803085 - 2³ = 460641803077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 460641803085.

It is a congruent number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 3698811 + ... + 3821319.

It is an arithmetic number, because the mean of its divisors is an integer number (33269244385).

Almost surely, 2^460641803085 is an apocalyptic number.

460641803085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

460641803085 is a deficient number, since it is larger than the sum of its proper divisors (337820062155).

460641803085 is a wasteful number, since it uses less digits than its factorization.

460641803085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206077 (or 206074 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 460641803085 in words is "four hundred sixty billion, six hundred forty-one million, eight hundred three thousand, eighty-five".