413822808 has 192 divisors, whose sum is σ = 1383782400. Its totient is φ = 109105920.

The previous prime is 413822803. The next prime is 413822819. The reversal of 413822808 is 808228314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413822803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335553 + ... + 336783.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2^413822808 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 413822808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691891200).

413822808 is an abundant number, since it is smaller than the sum of its proper divisors (969959592).

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

413822808 is a wasteful number, since it uses less digits than its factorization.

413822808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 413822808 is about 20342.6352275215. The cubic root of 413822808 is about 745.1976461626.

The spelling of 413822808 in words is "four hundred thirteen million, eight hundred twenty-two thousand, eight hundred eight".