466564 has 24 divisors (see below), whose sum is σ = 983360. Its totient is φ = 189216.

The previous prime is 466561. The next prime is 466567. The reversal of 466564 is 465664.

It is an interprime number because it is at equal distance from previous prime (466561) and next prime (466567).

It is not an unprimeable number, because it can be changed into a prime (466561) 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, 94 + ... + 970.

466564 is a Friedman number, since it can be written as 4+6^5*6*(6+4), using all its digits and the basic arithmetic operations.

2⁴⁶⁶⁵⁶⁴ 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 466564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491680).

466564 is an abundant number, since it is smaller than the sum of its proper divisors (516796).

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

466564 is a wasteful number, since it uses less digits than its factorization.

466564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 905 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 466564 is about 683.0549026250. The cubic root of 466564 is about 77.5598704902.

Subtracting from 466564 its reverse (465664), we obtain a square (900 = 30²).

It can be divided in two parts, 46656 and 4, that multiplied together give a square (186624 = 432²).

The spelling of 466564 in words is "four hundred sixty-six thousand, five hundred sixty-four".