413987616 has 144 divisors (see below), whose sum is σ = 1354377024. Its totient is φ = 117499392.

The previous prime is 413987579. The next prime is 413987627. The reversal of 413987616 is 616789314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348175 + ... + 349361.

It is an arithmetic number, because the mean of its divisors is an integer number (9405396).

Almost surely, 2^413987616 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 413987616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677188512).

413987616 is an abundant number, since it is smaller than the sum of its proper divisors (940389408).

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

413987616 is a wasteful number, since it uses less digits than its factorization.

413987616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1372 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 413987616 is about 20346.6856269025. The cubic root of 413987616 is about 745.2965598611.

The spelling of 413987616 in words is "four hundred thirteen million, nine hundred eighty-seven thousand, six hundred sixteen".