460733231446140 has 192 divisors, whose sum is σ = 1334542655287296. Its totient is φ = 118700175679488.

The previous prime is 460733231446129. The next prime is 460733231446177. The reversal of 460733231446140 is 41644132337064.

It is a super-2 number, since 2×460733231446140² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 460733231446140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88380084 + ... + 93447876.

It is an arithmetic number, because the mean of its divisors is an integer number (6950742996288).

Almost surely, 2^{460733231446140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460733231446140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667271327643648).

460733231446140 is an abundant number, since it is smaller than the sum of its proper divisors (873809423841156).

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

460733231446140 is a wasteful number, since it uses less digits than its factorization.

460733231446140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068268 (or 5068266 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 48.

The spelling of 460733231446140 in words is "four hundred sixty trillion, seven hundred thirty-three billion, two hundred thirty-one million, four hundred forty-six thousand, one hundred forty".