442380 has 48 divisors (see below), whose sum is σ = 1268064. Its totient is φ = 115200.

The previous prime is 442367. The next prime is 442397. The reversal of 442380 is 83244.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4330 + ... + 4430.

It is an arithmetic number, because the mean of its divisors is an integer number (26418).

2⁴⁴²³⁸⁰ 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 442380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634032).

442380 is an abundant number, since it is smaller than the sum of its proper divisors (825684).

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

442380 is a wasteful number, since it uses less digits than its factorization.

442380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

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

The square root of 442380 is about 665.1165311432. The cubic root of 442380 is about 76.1959394644.

The spelling of 442380 in words is "four hundred forty-two thousand, three hundred eighty".