413265216 has 336 divisors, whose sum is σ = 1426951680. Its totient is φ = 104509440.

The previous prime is 413265163. The next prime is 413265241. The reversal of 413265216 is 612562314.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3791370 + ... + 3791478.

It is an arithmetic number, because the mean of its divisors is an integer number (4246880).

Almost surely, 2^413265216 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 413265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713475840).

413265216 is an abundant number, since it is smaller than the sum of its proper divisors (1013686464).

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

413265216 is a wasteful number, since it uses less digits than its factorization.

413265216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 413265216 is about 20328.9255987620. The cubic root of 413265216 is about 744.8627983306.

The spelling of 413265216 in words is "four hundred thirteen million, two hundred sixty-five thousand, two hundred sixteen".