413036736 has 112 divisors (see below), whose sum is σ = 1256263680. Its totient is φ = 117319680.

The previous prime is 413036719. The next prime is 413036759. The reversal of 413036736 is 637630314.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 413036697 and 413036706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255900 + ... + 257508.

It is an arithmetic number, because the mean of its divisors is an integer number (11216640).

Almost surely, 2^413036736 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 413036736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628131840).

413036736 is an abundant number, since it is smaller than the sum of its proper divisors (843226944).

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

413036736 is a wasteful number, since it uses less digits than its factorization.

413036736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 413036736 is about 20323.3052429963. The cubic root of 413036736 is about 744.7255034260.

The spelling of 413036736 in words is "four hundred thirteen million, thirty-six thousand, seven hundred thirty-six".