413931616 has 72 divisors (see below), whose sum is σ = 980773920. Its totient is φ = 171263232.

The previous prime is 413931607. The next prime is 413931629. The reversal of 413931616 is 616139314.

It is a happy number.

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, 40921 + ... + 50023.

It is an arithmetic number, because the mean of its divisors is an integer number (13621860).

Almost surely, 2^413931616 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 413931616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490386960).

413931616 is an abundant number, since it is smaller than the sum of its proper divisors (566842304).

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

413931616 is a wasteful number, since it uses less digits than its factorization.

413931616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9156 (or 9141 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The square root of 413931616 is about 20345.3094348550. The cubic root of 413931616 is about 745.2629529867.

The spelling of 413931616 in words is "four hundred thirteen million, nine hundred thirty-one thousand, six hundred sixteen".