466969664 has 56 divisors (see below), whose sum is σ = 1084892928. Its totient is φ = 195240960.

The previous prime is 466969639. The next prime is 466969681.

466969664 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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, 5657 + ... + 31079.

It is an arithmetic number, because the mean of its divisors is an integer number (19373088).

Almost surely, 2^466969664 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 466969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542446464).

466969664 is an abundant number, since it is smaller than the sum of its proper divisors (617923264).

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

466969664 is a wasteful number, since it uses less digits than its factorization.

466969664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25483 (or 25473 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 56.

The square root of 466969664 is about 21609.4808822424. The cubic root of 466969664 is about 775.8234267185.

The spelling of 466969664 in words is "four hundred sixty-six million, nine hundred sixty-nine thousand, six hundred sixty-four".