410580 has 36 divisors (see below), whose sum is σ = 1245972. Its totient is φ = 109440.

The previous prime is 410561. The next prime is 410587. The reversal of 410580 is 85014.

It can be written as a sum of positive squares in 2 ways, for example, as 197136 + 213444 = 444^2 + 462^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410587) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 961 + ... + 1320.

2⁴¹⁰⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

410580 is an abundant number, since it is smaller than the sum of its proper divisors (835392).

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

410580 is a wasteful number, since it uses less digits than its factorization.

410580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 410580 is about 640.7651675926. The cubic root of 410580 is about 74.3246027716.

Adding to 410580 its reverse (85014), we get a palindrome (495594).

It can be divided in two parts, 410 and 580, that added together give a triangular number (990 = T₄₄).

The spelling of 410580 in words is "four hundred ten thousand, five hundred eighty".