413363316 has 48 divisors (see below), whose sum is σ = 1024654400. Its totient is φ = 129330432.

The previous prime is 413363299. The next prime is 413363317. The reversal of 413363316 is 613363314.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413363317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16536 + ... + 33168.

Almost surely, 2^413363316 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 413363316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512327200).

413363316 is an abundant number, since it is smaller than the sum of its proper divisors (611291084).

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

413363316 is a wasteful number, since it uses less digits than its factorization.

413363316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16768 (or 16766 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 413363316 is about 20331.3382737094. The cubic root of 413363316 is about 744.9217316391.

The spelling of 413363316 in words is "four hundred thirteen million, three hundred sixty-three thousand, three hundred sixteen".