466824 has 32 divisors (see below), whose sum is σ = 1192320. Its totient is φ = 152256.

The previous prime is 466819. The next prime is 466853. The reversal of 466824 is 428664.

466824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 466791 and 466800.

It is an unprimeable number.

466824 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, 1089 + ... + 1455.

It is an arithmetic number, because the mean of its divisors is an integer number (37260).

2⁴⁶⁶⁸²⁴ 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 466824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596160).

466824 is an abundant number, since it is smaller than the sum of its proper divisors (725496).

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

466824 is a wasteful number, since it uses less digits than its factorization.

466824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 466824 is about 683.2451975682. The cubic root of 466824 is about 77.5742749603.

The spelling of 466824 in words is "four hundred sixty-six thousand, eight hundred twenty-four".