424224 has 48 divisors (see below), whose sum is σ = 1239840. Its totient is φ = 141120.

The previous prime is 424223. The next prime is 424231. The reversal of 424224 is 422424.

424224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 424197 and 424206.

It is not an unprimeable number, because it can be changed into a prime (424223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619 + ... + 1109.

It is an arithmetic number, because the mean of its divisors is an integer number (25830).

2⁴²⁴²²⁴ 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 424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619920).

424224 is an abundant number, since it is smaller than the sum of its proper divisors (815616).

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

424224 is a wasteful number, since it uses less digits than its factorization.

424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 496 counting only the distinct ones).

The product of its digits is 512, while the sum is 18.

The square root of 424224 is about 651.3248037654. The cubic root of 424224 is about 75.1389424410.

Adding to 424224 its reverse (422424), we get a palindrome (846648).

The spelling of 424224 in words is "four hundred twenty-four thousand, two hundred twenty-four", and thus it is an iban number.