413838336 has 88 divisors (see below), whose sum is σ = 1114223040. Its totient is φ = 136548352.

The previous prime is 413838319. The next prime is 413838343. The reversal of 413838336 is 633838314.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 413838294 and 413838303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328075 + ... + 329333.

Almost surely, 2^413838336 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 413838336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557111520).

413838336 is an abundant number, since it is smaller than the sum of its proper divisors (700384704).

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

413838336 is a wasteful number, since it uses less digits than its factorization.

413838336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1371 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 413838336 is about 20343.0168854081. The cubic root of 413838336 is about 745.2069668059.

The spelling of 413838336 in words is "four hundred thirteen million, eight hundred thirty-eight thousand, three hundred thirty-six".