411280 has 40 divisors (see below), whose sum is σ = 984312. Its totient is φ = 159744.

The previous prime is 411259. The next prime is 411287. The reversal of 411280 is 82114.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 345744 = 256^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (411287) by changing a digit.

411280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4192 + ... + 4288.

2⁴¹¹²⁸⁰ is an apocalyptic number.

411280 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 411280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492156).

411280 is an abundant number, since it is smaller than the sum of its proper divisors (573032).

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

411280 is a wasteful number, since it uses less digits than its factorization.

411280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 411280 is about 641.3111569277. The cubic root of 411280 is about 74.3668175919.

Adding to 411280 its reverse (82114), we get a palindrome (493394).

The spelling of 411280 in words is "four hundred eleven thousand, two hundred eighty".