466224 has 40 divisors (see below), whose sum is σ = 1315392. Its totient is φ = 141120.

The previous prime is 466201. The next prime is 466243. The reversal of 466224 is 422664.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 466194 and 466203.

It is an unprimeable number.

466224 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 7 ways as a sum of consecutive naturals, for example, 87 + ... + 969.

2⁴⁶⁶²²⁴ is an apocalyptic number.

466224 is a gapful number since it is divisible by the number (44) 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 466224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657696).

466224 is an abundant number, since it is smaller than the sum of its proper divisors (849168).

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

466224 is a wasteful number, since it uses less digits than its factorization.

466224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 899 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 466224 is about 682.8059753693. The cubic root of 466224 is about 77.5410257985.

Adding to 466224 its reverse (422664), we get a palindrome (888888).

The spelling of 466224 in words is "four hundred sixty-six thousand, two hundred twenty-four".