411808 has 24 divisors (see below), whose sum is σ = 859572. Its totient is φ = 193536.

The previous prime is 411799. The next prime is 411809. The reversal of 411808 is 808114.

It can be written as a sum of positive squares in 2 ways, for example, as 394384 + 17424 = 628^2 + 132^2 .

It is not an unprimeable number, because it can be changed into a prime (411809) by changing a digit.

411808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166 + ... + 922.

2⁴¹¹⁸⁰⁸ 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 411808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429786).

411808 is an abundant number, since it is smaller than the sum of its proper divisors (447764).

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

411808 is a wasteful number, since it uses less digits than its factorization.

411808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 411808 is about 641.7226815377. The cubic root of 411808 is about 74.3986279471.

It can be divided in two parts, 41 and 1808, that added together give a square (1849 = 43²).

The spelling of 411808 in words is "four hundred eleven thousand, eight hundred eight".