466646656 has 64 divisors (see below), whose sum is σ = 1099152000. Its totient is φ = 193084416.

The previous prime is 466646633. The next prime is 466646683. The reversal of 466646656 is 656646664.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17005 + ... + 34963.

It is an arithmetic number, because the mean of its divisors is an integer number (17174250).

Almost surely, 2^466646656 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 466646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549576000).

466646656 is an abundant number, since it is smaller than the sum of its proper divisors (632505344).

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

466646656 is a wasteful number, since it uses less digits than its factorization.

466646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18009 (or 17997 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 49.

The square root of 466646656 is about 21602.0058327925. The cubic root of 466646656 is about 775.6445036211.

The spelling of 466646656 in words is "four hundred sixty-six million, six hundred forty-six thousand, six hundred fifty-six".