411414416 has 80 divisors (see below), whose sum is σ = 997971840. Its totient is φ = 160204800.

The previous prime is 411414407. The next prime is 411414427. The reversal of 411414416 is 614414114.

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 15 ways as a sum of consecutive naturals, for example, 51491 + ... + 58941.

It is an arithmetic number, because the mean of its divisors is an integer number (12474648).

Almost surely, 2^411414416 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 411414416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498985920).

411414416 is an abundant number, since it is smaller than the sum of its proper divisors (586557424).

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

411414416 is a wasteful number, since it uses less digits than its factorization.

411414416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 7506 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 411414416 is about 20283.3531744630. The cubic root of 411414416 is about 743.7491831924.

The spelling of 411414416 in words is "four hundred eleven million, four hundred fourteen thousand, four hundred sixteen".