460909822806 has 224 divisors, whose sum is σ = 1140078395520. Its totient is φ = 139085641728.

The previous prime is 460909822801. The next prime is 460909822871. The reversal of 460909822806 is 608228909064.

It is a happy number.

460909822806 is a `hidden beast` number, since 4 + 609 + 0 + 9 + 8 + 2 + 28 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460909822801) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 81617475 + ... + 81623121.

Almost surely, 2^460909822806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460909822806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570039197760).

460909822806 is an abundant number, since it is smaller than the sum of its proper divisors (679168572714).

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

460909822806 is a wasteful number, since it uses less digits than its factorization.

460909822806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5810 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 460909822806 in words is "four hundred sixty billion, nine hundred nine million, eight hundred twenty-two thousand, eight hundred six".