409060 has 24 divisors (see below), whose sum is σ = 871416. Its totient is φ = 161280.

The previous prime is 409043. The next prime is 409063. The reversal of 409060 is 60904.

It is a happy number.

409060 is a nontrivial binomial coefficient, being equal to C(905, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 362404 = 216^2 + 602^2 .

It is not an unprimeable number, because it can be changed into a prime (409063) 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, 2170 + ... + 2350.

It is an arithmetic number, because the mean of its divisors is an integer number (36309).

2⁴⁰⁹⁰⁶⁰ is an apocalyptic number.

409060 is the 904-th triangular number.

409060 is the 302-nd centered nonagonal number.

It is an amenable number.

409060 is an abundant number, since it is smaller than the sum of its proper divisors (462356).

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

409060 is a wasteful number, since it uses less digits than its factorization.

409060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 409060 is about 639.5779858626. The cubic root of 409060 is about 74.2327708137.

Adding to 409060 its reverse (60904), we get a palindrome (469964).

The spelling of 409060 in words is "four hundred nine thousand, sixty".