442288 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 171840.

The previous prime is 442283. The next prime is 442291. The reversal of 442288 is 882244.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (442283) by changing a digit.

442288 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 7 ways as a sum of consecutive naturals, for example, 1053 + ... + 1411.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁴⁴²²⁸⁸ 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 442288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

442288 is an abundant number, since it is smaller than the sum of its proper divisors (629072).

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

442288 is a wasteful number, since it uses less digits than its factorization.

442288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 442288 is about 665.0473667341. The cubic root of 442288 is about 76.1906570432.

It can be divided in two parts, 44 and 2288, that added together give a palindrome (2332).

The spelling of 442288 in words is "four hundred forty-two thousand, two hundred eighty-eight".