460805228060 has 96 divisors (see below), whose sum is σ = 1023392993280. Its totient is φ = 173804486400.

The previous prime is 460805228053. The next prime is 460805228071. The reversal of 460805228060 is 60822508064.

It is a super-2 number, since 2×460805228060² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 460805227999 and 460805228017.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 135888965 + ... + 135892355.

It is an arithmetic number, because the mean of its divisors is an integer number (10660343680).

Almost surely, 2^460805228060 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 460805228060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511696496640).

460805228060 is an abundant number, since it is smaller than the sum of its proper divisors (562587765220).

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

460805228060 is a wasteful number, since it uses less digits than its factorization.

460805228060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 460805228060 in words is "four hundred sixty billion, eight hundred five million, two hundred twenty-eight thousand, sixty".