460760013 has 48 divisors (see below), whose sum is σ = 811774080. Its totient is φ = 245970432.

The previous prime is 460759987. The next prime is 460760017. The reversal of 460760013 is 310067064.

460760013 is a `hidden beast` number, since 46 + 0 + 7 + 600 + 13 = 666.

It is not a de Polignac number, because 460760013 - 2⁸ = 460759757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460760017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84745 + ... + 90017.

It is an arithmetic number, because the mean of its divisors is an integer number (16911960).

Almost surely, 2^460760013 is an apocalyptic number.

It is an amenable number.

460760013 is a deficient number, since it is larger than the sum of its proper divisors (351014067).

460760013 is a wasteful number, since it uses less digits than its factorization.

460760013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 460760013 is about 21465.3211716014. The cubic root of 460760013 is about 772.3691650104.

It can be divided in two parts, 4607 and 60013, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 460760013 in words is "four hundred sixty million, seven hundred sixty thousand, thirteen".