460276729164 has 108 divisors (see below), whose sum is σ = 1378969510464. Its totient is φ = 129026334528.

The previous prime is 460276729091. The next prime is 460276729207. The reversal of 460276729164 is 461927672064.

460276729164 is a `hidden beast` number, since 4 + 602 + 7 + 6 + 7 + 29 + 1 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 460276729164.

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 35 ways as a sum of consecutive naturals, for example, 2368092 + ... + 2555075.

It is an arithmetic number, because the mean of its divisors is an integer number (12768236208).

Almost surely, 2^460276729164 is an apocalyptic number.

It is an amenable number.

460276729164 is an abundant number, since it is smaller than the sum of its proper divisors (918692781300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460276729164 is a wasteful number, since it uses less digits than its factorization.

460276729164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923244 (or 4923232 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 460276729164 in words is "four hundred sixty billion, two hundred seventy-six million, seven hundred twenty-nine thousand, one hundred sixty-four".