412224 has 56 divisors (see below), whose sum is σ = 1158240. Its totient is φ = 129024.

The previous prime is 412219. The next prime is 412249. The reversal of 412224 is 422214.

412224 = 210² + 211² + ... + 218².

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3592 + ... + 3704.

2⁴¹²²²⁴ 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 412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579120).

412224 is an abundant number, since it is smaller than the sum of its proper divisors (746016).

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

412224 is a wasteful number, since it uses less digits than its factorization.

412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its digits is 128, while the sum is 15.

The square root of 412224 is about 642.0467272715. The cubic root of 412224 is about 74.4236715058.

Adding to 412224 its reverse (422214), we get a palindrome (834438).

It can be divided in two parts, 412 and 224, that added together give a palindrome (636).

The spelling of 412224 in words is "four hundred twelve thousand, two hundred twenty-four", and thus it is an iban number.