414223224 has 64 divisors (see below), whose sum is σ = 1100679840. Its totient is φ = 129454080.

The previous prime is 414223223. The next prime is 414223253. The reversal of 414223224 is 422322414.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 414223194 and 414223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414223223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112842 + ... + 116454.

Almost surely, 2^414223224 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 414223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550339920).

414223224 is an abundant number, since it is smaller than the sum of its proper divisors (686456616).

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

414223224 is a wasteful number, since it uses less digits than its factorization.

414223224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3916 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 414223224 is about 20352.4746406917. The cubic root of 414223224 is about 745.4379203943.

Adding to 414223224 its reverse (422322414), we get a palindrome (836545638).

The spelling of 414223224 in words is "four hundred fourteen million, two hundred twenty-three thousand, two hundred twenty-four".