460468701 has 48 divisors (see below), whose sum is σ = 831811968. Its totient is φ = 238464000.

The previous prime is 460468693. The next prime is 460468709. The reversal of 460468701 is 107864064.

It is an interprime number because it is at equal distance from previous prime (460468693) and next prime (460468709).

It is not a de Polignac number, because 460468701 - 2³ = 460468693 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460468709) 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 47 ways as a sum of consecutive naturals, for example, 277065 + ... + 278721.

It is an arithmetic number, because the mean of its divisors is an integer number (17329416).

Almost surely, 2^460468701 is an apocalyptic number.

It is an amenable number.

460468701 is a deficient number, since it is larger than the sum of its proper divisors (371343267).

460468701 is a wasteful number, since it uses less digits than its factorization.

460468701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 460468701 is about 21458.5344560154. The cubic root of 460468701 is about 772.2063558583.

The spelling of 460468701 in words is "four hundred sixty million, four hundred sixty-eight thousand, seven hundred one".