466032 has 80 divisors (see below), whose sum is σ = 1468160. Its totient is φ = 124416.

The previous prime is 466027. The next prime is 466033. The reversal of 466032 is 230664.

466032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466033) by changing a digit.

466032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6348 + ... + 6420.

It is an arithmetic number, because the mean of its divisors is an integer number (18352).

2⁴⁶⁶⁰³² is an apocalyptic number.

466032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734080).

466032 is an abundant number, since it is smaller than the sum of its proper divisors (1002128).

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

466032 is a wasteful number, since it uses less digits than its factorization.

466032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 466032 is about 682.6653645821. The cubic root of 466032 is about 77.5303800423.

Adding to 466032 its reverse (230664), we get a palindrome (696696).

The spelling of 466032 in words is "four hundred sixty-six thousand, thirty-two".