409536 has 70 divisors (see below), whose sum is σ = 1229360. Its totient is φ = 134784.

The previous prime is 409529. The next prime is 409543. The reversal of 409536 is 635904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (409529) and next prime (409543).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5145 + ... + 5223.

2⁴⁰⁹⁵³⁶ 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 409536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614680).

409536 is an abundant number, since it is smaller than the sum of its proper divisors (819824).

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

409536 is an equidigital number, since it uses as much as digits as its factorization.

409536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 409536 is about 639.9499980467. The cubic root of 409536 is about 74.2615531456.

The spelling of 409536 in words is "four hundred nine thousand, five hundred thirty-six".