413360316 has 72 divisors (see below), whose sum is σ = 1084356000. Its totient is φ = 132612480.

The previous prime is 413360309. The next prime is 413360317. The reversal of 413360316 is 613063314.

413360316 is a `hidden beast` number, since 41 + 3 + 3 + 603 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 413360316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413360317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625026 + ... + 625686.

It is an arithmetic number, because the mean of its divisors is an integer number (15060500).

Almost surely, 2^413360316 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 413360316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542178000).

413360316 is an abundant number, since it is smaller than the sum of its proper divisors (670995684).

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

413360316 is a wasteful number, since it uses less digits than its factorization.

413360316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 413360316 is about 20331.2644958448. The cubic root of 413360316 is about 744.9199295355.

The spelling of 413360316 in words is "four hundred thirteen million, three hundred sixty thousand, three hundred sixteen".