413341344 has 144 divisors (see below), whose sum is σ = 1278367272. Its totient is φ = 125927424.

The previous prime is 413341343. The next prime is 413341361. The reversal of 413341344 is 443143314.

It can be written as a sum of positive squares in 4 ways, for example, as 262051344 + 151290000 = 16188^2 + 12300^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (413341343) 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 23 ways as a sum of consecutive naturals, for example, 422584 + ... + 423560.

Almost surely, 2^413341344 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 413341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639183636).

413341344 is an abundant number, since it is smaller than the sum of its proper divisors (865025928).

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

413341344 is a wasteful number, since it uses less digits than its factorization.

413341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1108 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 413341344 is about 20330.7979184291. The cubic root of 413341344 is about 744.9085328302.

Adding to 413341344 its reverse (443143314), we get a palindrome (856484658).

The spelling of 413341344 in words is "four hundred thirteen million, three hundred forty-one thousand, three hundred forty-four".