410880 has 72 divisors (see below), whose sum is σ = 1324512. Its totient is φ = 108544.

The previous prime is 410857. The next prime is 410899. The reversal of 410880 is 88014.

It is a Cunningham number, because it is equal to 641²-1.

It is a congruent number.

It is an unprimeable number.

410880 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3787 + ... + 3893.

It is an arithmetic number, because the mean of its divisors is an integer number (18396).

2⁴¹⁰⁸⁸⁰ is an apocalyptic number.

410880 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 410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662256).

410880 is an abundant number, since it is smaller than the sum of its proper divisors (913632).

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

410880 is a wasteful number, since it uses less digits than its factorization.

410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 410880 is about 640.9992199683. Note that the first 3 decimals coincide. The cubic root of 410880 is about 74.3427007082.

Adding to 410880 its reverse (88014), we get a palindrome (498894).

The spelling of 410880 in words is "four hundred ten thousand, eight hundred eighty".