414224 has 10 divisors (see below), whose sum is σ = 802590. Its totient is φ = 207104.

The previous prime is 414221. The next prime is 414241. The reversal of 414224 is 422414.

414224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 4624 = 640^2 + 68^2 .

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (414221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12929 + ... + 12960.

It is an arithmetic number, because the mean of its divisors is an integer number (80259).

2⁴¹⁴²²⁴ is an apocalyptic number.

It is an amenable number.

414224 is a deficient number, since it is larger than the sum of its proper divisors (388366).

414224 is a wasteful number, since it uses less digits than its factorization.

414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25897 (or 25891 counting only the distinct ones).

The product of its digits is 256, while the sum is 17.

The square root of 414224 is about 643.6023617110. The cubic root of 414224 is about 74.5438385892.

Adding to 414224 its reverse (422414), we get a palindrome (836638).

The spelling of 414224 in words is "four hundred fourteen thousand, two hundred twenty-four", and thus it is an iban number.