413984802 has 144 divisors (see below), whose sum is σ = 1096643520. Its totient is φ = 101861760.

The previous prime is 413984783. The next prime is 413984839. The reversal of 413984802 is 208489314.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7811008 + ... + 7811060.

It is an arithmetic number, because the mean of its divisors is an integer number (7615580).

Almost surely, 2^413984802 is an apocalyptic number.

413984802 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 413984802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548321760).

413984802 is an abundant number, since it is smaller than the sum of its proper divisors (682658718).

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

413984802 is a wasteful number, since it uses less digits than its factorization.

413984802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 413984802 is about 20346.6164754733. The cubic root of 413984802 is about 745.2948711880.

The spelling of 413984802 in words is "four hundred thirteen million, nine hundred eighty-four thousand, eight hundred two".