466545664 has 88 divisors (see below), whose sum is σ = 1017244368. Its totient is φ = 212582400.

The previous prime is 466545661. The next prime is 466545679.

466545664 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (466545661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1344339 + ... + 1344685.

Almost surely, 2^466545664 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 466545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508622184).

466545664 is an abundant number, since it is smaller than the sum of its proper divisors (550698704).

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

466545664 is a wasteful number, since it uses less digits than its factorization.

466545664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 463 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 46.

The square root of 466545664 is about 21599.6681455989. The cubic root of 466545664 is about 775.5885444063.

The spelling of 466545664 in words is "four hundred sixty-six million, five hundred forty-five thousand, six hundred sixty-four".