460513315064 has 32 divisors (see below), whose sum is σ = 942410343600. Its totient is φ = 209223947520.

The previous prime is 460513315049. The next prime is 460513315103.

460513315064 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1068707 + ... + 1436370.

Almost surely, 2^460513315064 is an apocalyptic number.

460513315064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460513315064 is an abundant number, since it is smaller than the sum of its proper divisors (481897028536).

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

460513315064 is a wasteful number, since it uses less digits than its factorization.

460513315064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507183 (or 2507179 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

It can be divided in two parts, 460513 and 315064, that added together give a palindrome (775577).

The spelling of 460513315064 in words is "four hundred sixty billion, five hundred thirteen million, three hundred fifteen thousand, sixty-four".