478224 has 70 divisors (see below), whose sum is σ = 1423086. Its totient is φ = 155520.

The previous prime is 478213. The next prime is 478241. The reversal of 478224 is 422874.

478224 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 186624 = 540^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

478224 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 (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11644 + ... + 11684.

2⁴⁷⁸²²⁴ 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 478224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711543).

478224 is an abundant number, since it is smaller than the sum of its proper divisors (944862).

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

478224 is an equidigital number, since it uses as much as digits as its factorization.

478224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 478224 is about 691.5374176427. The cubic root of 478224 is about 78.2006667438.

The spelling of 478224 in words is "four hundred seventy-eight thousand, two hundred twenty-four".