413890416 has 60 divisors (see below), whose sum is σ = 1162100472. Its totient is φ = 137513088.

The previous prime is 413890327. The next prime is 413890447. The reversal of 413890416 is 614098314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41115 + ... + 50181.

Almost surely, 2^413890416 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 413890416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581050236).

413890416 is an abundant number, since it is smaller than the sum of its proper divisors (748210056).

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

413890416 is a wasteful number, since it uses less digits than its factorization.

413890416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9398 (or 9389 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 413890416 is about 20344.2968912666. The cubic root of 413890416 is about 745.2382259938.

The spelling of 413890416 in words is "four hundred thirteen million, eight hundred ninety thousand, four hundred sixteen".