409956 has 24 divisors (see below), whose sum is σ = 967680. Its totient is φ = 135072.

The previous prime is 409951. The next prime is 409961. The reversal of 409956 is 659904.

409956 = T₈ + T₉ + ... + T₁₃₄.

It is a happy number.

409956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (409951) and next prime (409961).

It is not an unprimeable number, because it can be changed into a prime (409951) by changing a digit.

409956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1390 + ... + 1658.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁴⁰⁹⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

409956 is an abundant number, since it is smaller than the sum of its proper divisors (557724).

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

409956 is a wasteful number, since it uses less digits than its factorization.

409956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 409956 is about 640.2780645938. The cubic root of 409956 is about 74.2869308057.

The spelling of 409956 in words is "four hundred nine thousand, nine hundred fifty-six".