442486288 has 80 divisors (see below), whose sum is σ = 927877120. Its totient is φ = 203793408.

The previous prime is 442486283. The next prime is 442486313. The reversal of 442486288 is 882684244.

Its product of digits (786432) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (442486283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2818306 + ... + 2818462.

It is an arithmetic number, because the mean of its divisors is an integer number (11598464).

Almost surely, 2^442486288 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 442486288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463938560).

442486288 is an abundant number, since it is smaller than the sum of its proper divisors (485390832).

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

442486288 is a wasteful number, since it uses less digits than its factorization.

442486288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its digits is 786432, while the sum is 46.

The square root of 442486288 is about 21035.3580430664. The cubic root of 442486288 is about 762.0204135680.

The spelling of 442486288 in words is "four hundred forty-two million, four hundred eighty-six thousand, two hundred eighty-eight".