413424224 has 48 divisors (see below), whose sum is σ = 871592400. Its totient is φ = 192344064.

The previous prime is 413424223. The next prime is 413424233. The reversal of 413424224 is 422424314.

It is a happy number.

It is a super-3 number, since 3×413424224³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413424193 and 413424202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413424223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44147 + ... + 52685.

It is an arithmetic number, because the mean of its divisors is an integer number (18158175).

Almost surely, 2^413424224 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 413424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435796200).

413424224 is an abundant number, since it is smaller than the sum of its proper divisors (458168176).

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

413424224 is a wasteful number, since it uses less digits than its factorization.

413424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8655 (or 8647 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 413424224 is about 20332.8361032100. The cubic root of 413424224 is about 744.9583172631.

Adding to 413424224 its reverse (422424314), we get a palindrome (835848538).

The spelling of 413424224 in words is "four hundred thirteen million, four hundred twenty-four thousand, two hundred twenty-four".