460935009 has 24 divisors (see below), whose sum is σ = 693393120. Its totient is φ = 302623992.

The previous prime is 460934987. The next prime is 460935037. The reversal of 460935009 is 900539064.

460935009 is a `hidden beast` number, since 4 + 60 + 93 + 500 + 9 = 666.

It is not a de Polignac number, because 460935009 - 2¹⁵ = 460902241 is a prime.

It is a super-2 number, since 2×460935009² = 424922165043660162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460935049) 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 in 23 ways as a sum of consecutive naturals, for example, 119302 + ... + 123104.

It is an arithmetic number, because the mean of its divisors is an integer number (28891380).

Almost surely, 2^460935009 is an apocalyptic number.

It is an amenable number.

460935009 is a deficient number, since it is larger than the sum of its proper divisors (232458111).

460935009 is an equidigital number, since it uses as much as digits as its factorization.

460935009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 460935009 is about 21469.3970339178. The cubic root of 460935009 is about 772.4669342054.

The spelling of 460935009 in words is "four hundred sixty million, nine hundred thirty-five thousand, nine".