411442416 has 600 divisors, whose sum is σ = 1642037760. Its totient is φ = 97977600.

The previous prime is 411442403. The next prime is 411442417. The reversal of 411442416 is 614244114.

411442416 is a `hidden beast` number, since 411 + 4 + 4 + 241 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 411442416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411442417) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13272321 + ... + 13272351.

Almost surely, 2^411442416 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 411442416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821018880).

411442416 is an abundant number, since it is smaller than the sum of its proper divisors (1230595344).

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

411442416 is a wasteful number, since it uses less digits than its factorization.

411442416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 73 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 411442416 is about 20284.0433839015. The cubic root of 411442416 is about 743.7660554781.

The spelling of 411442416 in words is "four hundred eleven million, four hundred forty-two thousand, four hundred sixteen".