411226816 has 224 divisors, whose sum is σ = 1126540800. Its totient is φ = 146764800.

The previous prime is 411226801. The next prime is 411226819. The reversal of 411226816 is 618622114.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (411226819) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3139071 + ... + 3139201.

It is an arithmetic number, because the mean of its divisors is an integer number (5029200).

Almost surely, 2^411226816 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 411226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563270400).

411226816 is an abundant number, since it is smaller than the sum of its proper divisors (715313984).

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

411226816 is a wasteful number, since it uses less digits than its factorization.

411226816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 164 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 411226816 is about 20278.7281652474. The cubic root of 411226816 is about 743.6361191266.

The spelling of 411226816 in words is "four hundred eleven million, two hundred twenty-six thousand, eight hundred sixteen".