466233216 has 64 divisors (see below), whose sum is σ = 1251299280. Its totient is φ = 153796608.

The previous prime is 466233199. The next prime is 466233217. The reversal of 466233216 is 612332664.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466233217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30990 + ... + 43506.

Almost surely, 2^466233216 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 466233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625649640).

466233216 is an abundant number, since it is smaller than the sum of its proper divisors (785066064).

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

466233216 is a wasteful number, since it uses less digits than its factorization.

466233216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12631 (or 12619 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 466233216 is about 21592.4342305355. The cubic root of 466233216 is about 775.4153672126.

The spelling of 466233216 in words is "four hundred sixty-six million, two hundred thirty-three thousand, two hundred sixteen".