411876 has 36 divisors (see below), whose sum is σ = 1104012. Its totient is φ = 129024.

The previous prime is 411841. The next prime is 411883. The reversal of 411876 is 678114.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 230400 + 181476 = 480^2 + 426^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276 + ... + 948.

It is an arithmetic number, because the mean of its divisors is an integer number (30667).

2⁴¹¹⁸⁷⁶ 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 411876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552006).

411876 is an abundant number, since it is smaller than the sum of its proper divisors (692136).

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

411876 is a wasteful number, since it uses less digits than its factorization.

411876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 695 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 411876 is about 641.7756617386. The cubic root of 411876 is about 74.4027227585.

The spelling of 411876 in words is "four hundred eleven thousand, eight hundred seventy-six".