442688288 has 48 divisors (see below), whose sum is σ = 998282880. Its totient is φ = 189298176.

The previous prime is 442688273. The next prime is 442688293. The reversal of 442688288 is 882886244.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110708 + ... + 114636.

It is an arithmetic number, because the mean of its divisors is an integer number (20797560).

Almost surely, 2^442688288 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 442688288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499141440).

442688288 is an abundant number, since it is smaller than the sum of its proper divisors (555594592).

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

442688288 is a wasteful number, since it uses less digits than its factorization.

442688288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4441 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 50.

The square root of 442688288 is about 21040.1589347609. The cubic root of 442688288 is about 762.1363529092.

The spelling of 442688288 in words is "four hundred forty-two million, six hundred eighty-eight thousand, two hundred eighty-eight".