411842816 has 144 divisors (see below), whose sum is σ = 1086099840. Its totient is φ = 150896640.

The previous prime is 411842801. The next prime is 411842857. The reversal of 411842816 is 618248114.

It is a happy number.

It is a super-2 number, since 2×411842816² = 339229010181619712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334490 + ... + 335718.

It is an arithmetic number, because the mean of its divisors is an integer number (7542360).

Almost surely, 2^411842816 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 411842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543049920).

411842816 is an abundant number, since it is smaller than the sum of its proper divisors (674257024).

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

411842816 is a wasteful number, since it uses less digits than its factorization.

411842816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1266 counting only the distinct ones).

The product of its digits is 12288, while the sum is 35.

The square root of 411842816 is about 20293.9108108812. The cubic root of 411842816 is about 744.0072454684.

The spelling of 411842816 in words is "four hundred eleven million, eight hundred forty-two thousand, eight hundred sixteen".