409932 has 36 divisors (see below), whose sum is σ = 1059240. Its totient is φ = 133632.

The previous prime is 409909. The next prime is 409933. The reversal of 409932 is 239904.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 409896 and 409905.

It is not an unprimeable number, because it can be changed into a prime (409933) by changing a digit.

409932 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 11 ways as a sum of consecutive naturals, for example, 2028 + ... + 2220.

2⁴⁰⁹⁹³² 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 409932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529620).

409932 is an abundant number, since it is smaller than the sum of its proper divisors (649308).

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

409932 is a wasteful number, since it uses less digits than its factorization.

409932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 409932 is about 640.2593224624. The cubic root of 409932 is about 74.2854811207.

The spelling of 409932 in words is "four hundred nine thousand, nine hundred thirty-two".