408432 has 40 divisors (see below), whose sum is σ = 1079296. Its totient is φ = 133056.

The previous prime is 408431. The next prime is 408433. The reversal of 408432 is 234804.

It is a happy number.

408432 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (408431) and next prime (408433).

It is a junction number, because it is equal to n+sod(n) for n = 408399 and 408408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3153 + ... + 3279.

2⁴⁰⁸⁴³² 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 408432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539648).

408432 is an abundant number, since it is smaller than the sum of its proper divisors (670864).

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

408432 is a wasteful number, since it uses less digits than its factorization.

408432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 408432 is about 639.0868485582. The cubic root of 408432 is about 74.1947633031.

The spelling of 408432 in words is "four hundred eight thousand, four hundred thirty-two".