408342 has 32 divisors (see below), whose sum is σ = 933120. Its totient is φ = 117920.

The previous prime is 408341. The next prime is 408347. The reversal of 408342 is 243804.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408342.

It is not an unprimeable number, because it can be changed into a prime (408341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384 + ... + 1652.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2⁴⁰⁸³⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466560).

408342 is an abundant number, since it is smaller than the sum of its proper divisors (524778).

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

408342 is a wasteful number, since it uses less digits than its factorization.

408342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308.

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

The square root of 408342 is about 639.0164317136. The cubic root of 408342 is about 74.1893131757.

Subtracting from 408342 its sum of digits (21), we obtain a square (408321 = 639²).

The spelling of 408342 in words is "four hundred eight thousand, three hundred forty-two".