408642 has 32 divisors (see below), whose sum is σ = 913920. Its totient is φ = 121680.

The previous prime is 408637. The next prime is 408643. The reversal of 408642 is 246804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408643) by changing a digit.

408642 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 15 ways as a sum of consecutive naturals, for example, 13167 + ... + 13197.

It is an arithmetic number, because the mean of its divisors is an integer number (28560).

2⁴⁰⁸⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456960).

408642 is an abundant number, since it is smaller than the sum of its proper divisors (505278).

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

408642 is a wasteful number, since it uses less digits than its factorization.

408642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 408642 is about 639.2511243635. The cubic root of 408642 is about 74.2074771540.

The spelling of 408642 in words is "four hundred eight thousand, six hundred forty-two".