413004343224 has 256 divisors, whose sum is σ = 1242849484800. Its totient is φ = 112981478400.

The previous prime is 413004343207. The next prime is 413004343247. The reversal of 413004343224 is 422343400314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 413004343191 and 413004343200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8819857 + ... + 8866559.

It is an arithmetic number, because the mean of its divisors is an integer number (4854880800).

Almost surely, 2^413004343224 is an apocalyptic number.

413004343224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413004343224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621424742400).

413004343224 is an abundant number, since it is smaller than the sum of its proper divisors (829845141576).

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

413004343224 is a wasteful number, since it uses less digits than its factorization.

413004343224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46826 (or 46822 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 413004343224 its reverse (422343400314), we get a palindrome (835347743538).

The spelling of 413004343224 in words is "four hundred thirteen billion, four million, three hundred forty-three thousand, two hundred twenty-four".