466577664 has 144 divisors (see below), whose sum is σ = 1444208640. Its totient is φ = 130959360.

The previous prime is 466577647. The next prime is 466577717. The reversal of 466577664 is 466775664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316449 + ... + 317919.

Almost surely, 2^466577664 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 466577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722104320).

466577664 is an abundant number, since it is smaller than the sum of its proper divisors (977630976).

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

466577664 is a wasteful number, since it uses less digits than its factorization.

466577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1542 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 51.

The square root of 466577664 is about 21600.4088850188. The cubic root of 466577664 is about 775.6062763369.

The spelling of 466577664 in words is "four hundred sixty-six million, five hundred seventy-seven thousand, six hundred sixty-four".