460027107 has 40 divisors (see below), whose sum is σ = 726696960. Its totient is φ = 289208880.

The previous prime is 460027091. The next prime is 460027151. The reversal of 460027107 is 701720064.

It is not a de Polignac number, because 460027107 - 2⁴ = 460027091 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (460027177) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 416518 + ... + 417620.

It is an arithmetic number, because the mean of its divisors is an integer number (18167424).

Almost surely, 2^460027107 is an apocalyptic number.

460027107 is a deficient number, since it is larger than the sum of its proper divisors (266669853).

460027107 is a wasteful number, since it uses less digits than its factorization.

460027107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 460027107 is about 21448.2425154137. The cubic root of 460027107 is about 771.9594257493.

The spelling of 460027107 in words is "four hundred sixty million, twenty-seven thousand, one hundred seven".