409540 has 12 divisors (see below), whose sum is σ = 860076. Its totient is φ = 163808.

The previous prime is 409529. The next prime is 409543. The reversal of 409540 is 45904.

409540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 238144 + 171396 = 488^2 + 414^2 .

It is not an unprimeable number, because it can be changed into a prime (409543) 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 3 ways as a sum of consecutive naturals, for example, 10219 + ... + 10258.

It is an arithmetic number, because the mean of its divisors is an integer number (71673).

2⁴⁰⁹⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

409540 is an abundant number, since it is smaller than the sum of its proper divisors (450536).

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

409540 is a wasteful number, since it uses less digits than its factorization.

409540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20486 (or 20484 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 409540 is about 639.9531232833. The cubic root of 409540 is about 74.2617949195.

It can be divided in two parts, 409 and 540, that added together give a palindrome (949).

The spelling of 409540 in words is "four hundred nine thousand, five hundred forty".