409032 has 96 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 114048.

The previous prime is 409027. The next prime is 409033. The reversal of 409032 is 230904.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 408996 and 409014.

It is not an unprimeable number, because it can be changed into a prime (409033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17773 + ... + 17795.

It is an arithmetic number, because the mean of its divisors is an integer number (13650).

2⁴⁰⁹⁰³² 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 409032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

409032 is an abundant number, since it is smaller than the sum of its proper divisors (901368).

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

409032 is a wasteful number, since it uses less digits than its factorization.

409032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 409032 is about 639.5560960541. The cubic root of 409032 is about 74.2310770402.

Adding to 409032 its reverse (230904), we get a palindrome (639936).

The spelling of 409032 in words is "four hundred nine thousand, thirty-two".