413111984 has 40 divisors (see below), whose sum is σ = 845898240. Its totient is φ = 194902848.

The previous prime is 413111981. The next prime is 413112043. The reversal of 413111984 is 489111314.

It is a happy number.

It is a super-2 number, since 2×413111984² = 341323022648832512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413111984.

It is not an unprimeable number, because it can be changed into a prime (413111981) 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, 77369 + ... + 82535.

It is an arithmetic number, because the mean of its divisors is an integer number (21147456).

Almost surely, 2^413111984 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 413111984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422949120).

413111984 is an abundant number, since it is smaller than the sum of its proper divisors (432786256).

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

413111984 is a wasteful number, since it uses less digits than its factorization.

413111984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5451 counting only the distinct ones).

The product of its digits is 3456, while the sum is 32.

The square root of 413111984 is about 20325.1564323623. The cubic root of 413111984 is about 744.7707259587.

The spelling of 413111984 in words is "four hundred thirteen million, one hundred eleven thousand, nine hundred eighty-four".