410080 has 48 divisors (see below), whose sum is σ = 1061424. Its totient is φ = 148480.

The previous prime is 410063. The next prime is 410087. The reversal of 410080 is 80014.

It is a self number, because there is not a number n which added to its sum of digits gives 410080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410087) by changing a digit.

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, 1644 + ... + 1876.

It is an arithmetic number, because the mean of its divisors is an integer number (22113).

2⁴¹⁰⁰⁸⁰ is an apocalyptic number.

410080 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 410080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712).

410080 is an abundant number, since it is smaller than the sum of its proper divisors (651344).

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

410080 is a wasteful number, since it uses less digits than its factorization.

410080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 410080 is about 640.3748902010. The cubic root of 410080 is about 74.2944199434.

Adding to 410080 its reverse (80014), we get a palindrome (490094).

The spelling of 410080 in words is "four hundred ten thousand, eighty".