466949664 has 96 divisors (see below), whose sum is σ = 1375678080. Its totient is φ = 154080000.

The previous prime is 466949647. The next prime is 466949689.

466949664 is a `hidden beast` number, since 466 + 94 + 96 + 6 + 4 = 666.

466949664 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 466949664.

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 15 ways as a sum of consecutive naturals, for example, 84589 + ... + 89939.

It is an arithmetic number, because the mean of its divisors is an integer number (14329980).

Almost surely, 2^466949664 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 466949664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687839040).

466949664 is an abundant number, since it is smaller than the sum of its proper divisors (908728416).

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

466949664 is a wasteful number, since it uses less digits than its factorization.

466949664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5457 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 466949664 is about 21609.0181174435. The cubic root of 466949664 is about 775.8123505599.

The spelling of 466949664 in words is "four hundred sixty-six million, nine hundred forty-nine thousand, six hundred sixty-four".