409180 has 24 divisors (see below), whose sum is σ = 882000. Its totient is φ = 159360.

The previous prime is 409177. The next prime is 409187. The reversal of 409180 is 81904.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571 + ... + 1069.

It is an arithmetic number, because the mean of its divisors is an integer number (36750).

2⁴⁰⁹¹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441000).

409180 is an abundant number, since it is smaller than the sum of its proper divisors (472820).

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

409180 is a wasteful number, since it uses less digits than its factorization.

409180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 409180 is about 639.6717908428. The cubic root of 409180 is about 74.2400289679.

The spelling of 409180 in words is "four hundred nine thousand, one hundred eighty".