413036416 has 64 divisors (see below), whose sum is σ = 889786800. Its totient is φ = 189849600.

The previous prime is 413036401. The next prime is 413036417. The reversal of 413036416 is 614630314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413036417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 666955 + ... + 667573.

Almost surely, 2^413036416 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 413036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444893400).

413036416 is an abundant number, since it is smaller than the sum of its proper divisors (476750384).

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

413036416 is a wasteful number, since it uses less digits than its factorization.

413036416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 413036416 is about 20323.2973702596. The cubic root of 413036416 is about 744.7253111007.

The spelling of 413036416 in words is "four hundred thirteen million, thirty-six thousand, four hundred sixteen".