409656 has 48 divisors (see below), whose sum is σ = 1119960. Its totient is φ = 124800.

The previous prime is 409639. The next prime is 409657. The reversal of 409656 is 656904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409657) by changing a digit.

409656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4006 + ... + 4106.

2⁴⁰⁹⁶⁵⁶ 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 409656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559980).

409656 is an abundant number, since it is smaller than the sum of its proper divisors (710304).

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

409656 is a wasteful number, since it uses less digits than its factorization.

409656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 409656 is about 640.0437485047. The cubic root of 409656 is about 74.2688056754.

The spelling of 409656 in words is "four hundred nine thousand, six hundred fifty-six".