408032 has 24 divisors (see below), whose sum is σ = 825552. Its totient is φ = 198400.

The previous prime is 408019. The next prime is 408041. The reversal of 408032 is 230804.

It is a super-2 number, since 2×408032² = 332980226048, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 408032.

It is a congruent number.

It is an unprimeable number.

408032 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 3 ways as a sum of consecutive naturals, for example, 1157 + ... + 1467.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁴⁰⁸⁰³² 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 408032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412776).

408032 is an abundant number, since it is smaller than the sum of its proper divisors (417520).

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

408032 is a wasteful number, since it uses less digits than its factorization.

408032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 408032 is about 638.7738253874. The cubic root of 408032 is about 74.1705343829.

Adding to 408032 its reverse (230804), we get a palindrome (638836).

The spelling of 408032 in words is "four hundred eight thousand, thirty-two".