413522368 has 84 divisors (see below), whose sum is σ = 987689160. Its totient is φ = 171075072.

The previous prime is 413522363. The next prime is 413522383. The reversal of 413522368 is 863225314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413522363) 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 11 ways as a sum of consecutive naturals, for example, 88671 + ... + 93217.

Almost surely, 2^413522368 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 413522368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493844580).

413522368 is an abundant number, since it is smaller than the sum of its proper divisors (574166792).

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

413522368 is a wasteful number, since it uses less digits than its factorization.

413522368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4585 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 413522368 is about 20335.2493960610. The cubic root of 413522368 is about 745.0172618855.

The spelling of 413522368 in words is "four hundred thirteen million, five hundred twenty-two thousand, three hundred sixty-eight".