460068705 has 24 divisors (see below), whose sum is σ = 844362792. Its totient is φ = 230936064.

The previous prime is 460068691. The next prime is 460068709. The reversal of 460068705 is 507860064.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 193432464 + 266636241 = 13908^2 + 16329^2 .

It is not a de Polignac number, because 460068705 - 2⁴ = 460068689 is a prime.

It is a super-3 number, since 3×460068705³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 460068705.

It is not an unprimeable number, because it can be changed into a prime (460068709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299934 + ... + 301463.

It is an arithmetic number, because the mean of its divisors is an integer number (35181783).

Almost surely, 2^460068705 is an apocalyptic number.

460068705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

460068705 is a deficient number, since it is larger than the sum of its proper divisors (384294087).

460068705 is a wasteful number, since it uses less digits than its factorization.

460068705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601425 (or 601422 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 460068705 is about 21449.2122232962. The cubic root of 460068705 is about 771.9826932190.

The spelling of 460068705 in words is "four hundred sixty million, sixty-eight thousand, seven hundred five".