460558748160 has 480 divisors, whose sum is σ = 1825354776960. Its totient is φ = 105129345024.

The previous prime is 460558748129. The next prime is 460558748183. The reversal of 460558748160 is 61847855064.

460558748160 is a `hidden beast` number, since 4 + 6 + 0 + 5 + 587 + 48 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×460558748160² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 460558748097 and 460558748106.

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 47 ways as a sum of consecutive naturals, for example, 163375231 + ... + 163378049.

It is an arithmetic number, because the mean of its divisors is an integer number (3802822452).

Almost surely, 2^460558748160 is an apocalyptic number.

460558748160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460558748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912677388480).

460558748160 is an abundant number, since it is smaller than the sum of its proper divisors (1364796028800).

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

460558748160 is a wasteful number, since it uses less digits than its factorization.

460558748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 460558748160 in words is "four hundred sixty billion, five hundred fifty-eight million, seven hundred forty-eight thousand, one hundred sixty".