413424220 has 48 divisors (see below), whose sum is σ = 967292928. Its totient is φ = 147133760.

The previous prime is 413424163. The next prime is 413424223. The reversal of 413424220 is 22424314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 413424191 and 413424200.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9652 + ... + 30331.

It is an arithmetic number, because the mean of its divisors is an integer number (20151936).

Almost surely, 2^413424220 is an apocalyptic number.

It is an amenable number.

413424220 is an abundant number, since it is smaller than the sum of its proper divisors (553868708).

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

413424220 is a wasteful number, since it uses less digits than its factorization.

413424220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40050 (or 40048 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 413424220 is about 20332.8360048469. The cubic root of 413424220 is about 744.9583148605.

Adding to 413424220 its reverse (22424314), we get a palindrome (435848534).

The spelling of 413424220 in words is "four hundred thirteen million, four hundred twenty-four thousand, two hundred twenty".