460345167 has 16 divisors (see below), whose sum is σ = 717888000. Its totient is φ = 290743992.

The previous prime is 460345111. The next prime is 460345169. The reversal of 460345167 is 761543064.

It is a happy number.

460345167 is a `hidden beast` number, since 4 + 603 + 45 + 1 + 6 + 7 = 666.

It is not a de Polignac number, because 460345167 - 2⁶ = 460345103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460345169) 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 15 ways as a sum of consecutive naturals, for example, 448167 + ... + 449192.

It is an arithmetic number, because the mean of its divisors is an integer number (44868000).

Almost surely, 2^460345167 is an apocalyptic number.

460345167 is a deficient number, since it is larger than the sum of its proper divisors (257542833).

460345167 is a wasteful number, since it uses less digits than its factorization.

460345167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897387 (or 897381 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 460345167 is about 21455.6558277765. The cubic root of 460345167 is about 772.1372941452.

It can be divided in two parts, 4603 and 45167, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 460345167 in words is "four hundred sixty million, three hundred forty-five thousand, one hundred sixty-seven".