466896 has 40 divisors (see below), whose sum is σ = 1232064. Its totient is φ = 152320.

The previous prime is 466859. The next prime is 466897. The reversal of 466896 is 698664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466897) by changing a digit.

466896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3340 + ... + 3476.

2⁴⁶⁶⁸⁹⁶ 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 466896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616032).

466896 is an abundant number, since it is smaller than the sum of its proper divisors (765168).

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

466896 is a wasteful number, since it uses less digits than its factorization.

466896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 466896 is about 683.2978852594. The cubic root of 466896 is about 77.5782629449.

The spelling of 466896 in words is "four hundred sixty-six thousand, eight hundred ninety-six".