460489984064 has 56 divisors (see below), whose sum is σ = 1000001299968. Its totient is φ = 208653232640.

The previous prime is 460489984039. The next prime is 460489984093.

460489984064 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 460489983988 and 460489984006.

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, 808544 + ... + 1254879.

Almost surely, 2^460489984064 is an apocalyptic number.

460489984064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460489984064 is an abundant number, since it is smaller than the sum of its proper divisors (539511315904).

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

460489984064 is a wasteful number, since it uses less digits than its factorization.

460489984064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063763 (or 2063753 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 62.

The spelling of 460489984064 in words is "four hundred sixty billion, four hundred eighty-nine million, nine hundred eighty-four thousand, sixty-four".