442308 has 48 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 134400.

The previous prime is 442291. The next prime is 442319. The reversal of 442308 is 803244.

It is a happy number.

It is an unprimeable number.

442308 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, 10768 + ... + 10808.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2⁴⁴²³⁰⁸ 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 442308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

442308 is an abundant number, since it is smaller than the sum of its proper divisors (686652).

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

442308 is a wasteful number, since it uses less digits than its factorization.

442308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

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

The square root of 442308 is about 665.0624030871. The cubic root of 442308 is about 76.1918054580.

The spelling of 442308 in words is "four hundred forty-two thousand, three hundred eight".