460193775872 has 144 divisors (see below), whose sum is σ = 958918431744. Its totient is φ = 220176384000.

The previous prime is 460193775857. The next prime is 460193775941. The reversal of 460193775872 is 278577391064.

It is a happy number.

It is a super-2 number, since 2×460193775872² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338128472 + ... + 338129832.

It is an arithmetic number, because the mean of its divisors is an integer number (6659155776).

It is a 1-persistent number, because it is pandigital, but 2⋅460193775872 = 920387551744 is not.

Almost surely, 2^460193775872 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 460193775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479459215872).

460193775872 is an abundant number, since it is smaller than the sum of its proper divisors (498724655872).

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

460193775872 is a wasteful number, since it uses less digits than its factorization.

460193775872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 59.

The spelling of 460193775872 in words is "four hundred sixty billion, one hundred ninety-three million, seven hundred seventy-five thousand, eight hundred seventy-two".