460992299064 has 64 divisors (see below), whose sum is σ = 1257622554240. Its totient is φ = 139653432960.

The previous prime is 460992299029. The next prime is 460992299087.

460992299064 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 460992298989 and 460992299007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645219 + ... + 1156845.

It is an arithmetic number, because the mean of its divisors is an integer number (19650352410).

Almost surely, 2^460992299064 is an apocalyptic number.

460992299064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460992299064 is an abundant number, since it is smaller than the sum of its proper divisors (796630255176).

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

460992299064 is a wasteful number, since it uses less digits than its factorization.

460992299064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515060 (or 515056 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 460992299064 in words is "four hundred sixty billion, nine hundred ninety-two million, two hundred ninety-nine thousand, sixty-four".