460577668 has 48 divisors (see below), whose sum is σ = 895999104. Its totient is φ = 206046720.

The previous prime is 460577629. The next prime is 460577669. The reversal of 460577668 is 866775064.

It is not an unprimeable number, because it can be changed into a prime (460577669) 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, 282271 + ... + 283897.

It is an arithmetic number, because the mean of its divisors is an integer number (18666648).

Almost surely, 2^460577668 is an apocalyptic number.

It is an amenable number.

460577668 is a deficient number, since it is larger than the sum of its proper divisors (435421436).

460577668 is a wasteful number, since it uses less digits than its factorization.

460577668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The square root of 460577668 is about 21461.0733189186. The cubic root of 460577668 is about 772.2672636342.

The spelling of 460577668 in words is "four hundred sixty million, five hundred seventy-seven thousand, six hundred sixty-eight".