413424116 has 96 divisors (see below), whose sum is σ = 911769600. Its totient is φ = 160030080.

The previous prime is 413424113. The next prime is 413424127. The reversal of 413424116 is 611424314.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413424113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959251 + ... + 1959461.

It is an arithmetic number, because the mean of its divisors is an integer number (9497600).

Almost surely, 2^413424116 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 413424116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455884800).

413424116 is an abundant number, since it is smaller than the sum of its proper divisors (498345484).

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

413424116 is a wasteful number, since it uses less digits than its factorization.

413424116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 413424116 is about 20332.8334474072. The cubic root of 413424116 is about 744.9582523939.

The spelling of 413424116 in words is "four hundred thirteen million, four hundred twenty-four thousand, one hundred sixteen".