466262664 has 64 divisors (see below), whose sum is σ = 1340236800. Its totient is φ = 132412224.

The previous prime is 466262653. The next prime is 466262681.

466262664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 19747 + ... + 36365.

It is an arithmetic number, because the mean of its divisors is an integer number (20941200).

Almost surely, 2^466262664 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 466262664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670118400).

466262664 is an abundant number, since it is smaller than the sum of its proper divisors (873974136).

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

466262664 is a wasteful number, since it uses less digits than its factorization.

466262664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16802 (or 16798 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 466262664 is about 21593.1161252840. The cubic root of 466262664 is about 775.4316923408.

The spelling of 466262664 in words is "four hundred sixty-six million, two hundred sixty-two thousand, six hundred sixty-four".