413304340 has 96 divisors (see below), whose sum is σ = 976510080. Its totient is φ = 146018304.

The previous prime is 413304329. The next prime is 413304361. The reversal of 413304340 is 43403314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884787 + ... + 885253.

It is an arithmetic number, because the mean of its divisors is an integer number (10171980).

Almost surely, 2^413304340 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 413304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488255040).

413304340 is an abundant number, since it is smaller than the sum of its proper divisors (563205740).

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

413304340 is a wasteful number, since it uses less digits than its factorization.

413304340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 413304340 is about 20329.8878501580. The cubic root of 413304340 is about 744.8863030852.

Adding to 413304340 its reverse (43403314), we get a palindrome (456707654).

The spelling of 413304340 in words is "four hundred thirteen million, three hundred four thousand, three hundred forty".