413404224 has 56 divisors (see below), whose sum is σ = 1095390240. Its totient is φ = 137601024.

The previous prime is 413404217. The next prime is 413404253. The reversal of 413404224 is 422404314.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 413404194 and 413404203.

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, 194592 + ... + 196704.

It is an arithmetic number, because the mean of its divisors is an integer number (19560540).

Almost surely, 2^413404224 is an apocalyptic number.

It is an amenable number.

413404224 is an abundant number, since it is smaller than the sum of its proper divisors (681986016).

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

413404224 is a wasteful number, since it uses less digits than its factorization.

413404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147 (or 3137 counting only the distinct ones).

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

The square root of 413404224 is about 20332.3442819563. The cubic root of 413404224 is about 744.9463042542.

Adding to 413404224 its reverse (422404314), we get a palindrome (835808538).

The spelling of 413404224 in words is "four hundred thirteen million, four hundred four thousand, two hundred twenty-four".