411080 has 32 divisors (see below), whose sum is σ = 950400. Its totient is φ = 159936.

The previous prime is 411071. The next prime is 411083. The reversal of 411080 is 80114.

411080 = T₄₀₃ + T₄₀₄ + ... + T₄₀₇.

411080 = 68² + 69² + ... + 115².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (411083) by changing a digit.

411080 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 7 ways as a sum of consecutive naturals, for example, 1601 + ... + 1839.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2⁴¹¹⁰⁸⁰ is an apocalyptic number.

411080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475200).

411080 is an abundant number, since it is smaller than the sum of its proper divisors (539320).

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

411080 is a wasteful number, since it uses less digits than its factorization.

411080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 411080 is about 641.1552074186. The cubic root of 411080 is about 74.3547611056.

Adding to 411080 its reverse (80114), we get a palindrome (491194).

The spelling of 411080 in words is "four hundred eleven thousand, eighty".