413916216 has 256 divisors, whose sum is σ = 1327104000. Its totient is φ = 104924160.

The previous prime is 413916161. The next prime is 413916227. The reversal of 413916216 is 612619314.

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, 4650700 + ... + 4650788.

It is an arithmetic number, because the mean of its divisors is an integer number (5184000).

Almost surely, 2^413916216 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 413916216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663552000).

413916216 is an abundant number, since it is smaller than the sum of its proper divisors (913187784).

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

413916216 is a wasteful number, since it uses less digits than its factorization.

413916216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 198 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 413916216 is about 20344.9309657221. The cubic root of 413916216 is about 745.2537105649.

The spelling of 413916216 in words is "four hundred thirteen million, nine hundred sixteen thousand, two hundred sixteen".