460808853760 has 72 divisors (see below), whose sum is σ = 1104244182720. Its totient is φ = 184246228992.

The previous prime is 460808853751. The next prime is 460808853919. The reversal of 460808853760 is 67358808064.

It is a super-2 number, since 2×460808853760² (a number of 24 digits) contains 22 as substring.

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, 3027151 + ... + 3175729.

It is an arithmetic number, because the mean of its divisors is an integer number (15336724760).

Almost surely, 2^460808853760 is an apocalyptic number.

460808853760 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 460808853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552122091360).

460808853760 is an abundant number, since it is smaller than the sum of its proper divisors (643435328960).

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

460808853760 is a wasteful number, since it uses less digits than its factorization.

460808853760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151023 (or 151009 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 460808853760 in words is "four hundred sixty billion, eight hundred eight million, eight hundred fifty-three thousand, seven hundred sixty".