460406646 has 96 divisors (see below), whose sum is σ = 1197711360. Its totient is φ = 130712400.

The previous prime is 460406627. The next prime is 460406659. The reversal of 460406646 is 646604064.

It is a happy number.

460406646 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 0 + 6 + 646 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 460406646.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504931 + ... + 505841.

It is an arithmetic number, because the mean of its divisors is an integer number (12476160).

Almost surely, 2^460406646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460406646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598855680).

460406646 is an abundant number, since it is smaller than the sum of its proper divisors (737304714).

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

460406646 is a wasteful number, since it uses less digits than its factorization.

460406646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 460406646 is about 21457.0884791017. The cubic root of 460406646 is about 772.1716655395.

The spelling of 460406646 in words is "four hundred sixty million, four hundred six thousand, six hundred forty-six".