413883108 has 120 divisors (see below), whose sum is σ = 1131863040. Its totient is φ = 131725440.

The previous prime is 413883101. The next prime is 413883161. The reversal of 413883108 is 801388314.

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

It is not an unprimeable number, because it can be changed into a prime (413883101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 893685 + ... + 894147.

It is an arithmetic number, because the mean of its divisors is an integer number (9432192).

Almost surely, 2^413883108 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 413883108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565931520).

413883108 is an abundant number, since it is smaller than the sum of its proper divisors (717979932).

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

413883108 is a wasteful number, since it uses less digits than its factorization.

413883108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 413883108 is about 20344.1172823989. The cubic root of 413883108 is about 745.2338397820.

The spelling of 413883108 in words is "four hundred thirteen million, eight hundred eighty-three thousand, one hundred eight".