442888 has 32 divisors (see below), whose sum is σ = 907200. Its totient is φ = 202048.

The previous prime is 442879. The next prime is 442903. The reversal of 442888 is 888244.

It is a super-2 number, since 2×442888² = 392299561088, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 4⁷ + 4⁹ + 8 + 2¹⁷ + 8³ + 8⁵ .

It is an unprimeable number.

442888 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, 5295 + ... + 5377.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁴⁴²⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

442888 is an abundant number, since it is smaller than the sum of its proper divisors (464312).

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

442888 is a wasteful number, since it uses less digits than its factorization.

442888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 442888 is about 665.4983095396. The cubic root of 442888 is about 76.2250944370.

The spelling of 442888 in words is "four hundred forty-two thousand, eight hundred eighty-eight".