442324344 has 128 divisors (see below), whose sum is σ = 1416153600. Its totient is φ = 111767040.

The previous prime is 442324261. The next prime is 442324387. The reversal of 442324344 is 443423244.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65142 + ... + 71610.

It is an arithmetic number, because the mean of its divisors is an integer number (11063700).

Almost surely, 2^442324344 is an apocalyptic number.

442324344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442324344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708076800).

442324344 is an abundant number, since it is smaller than the sum of its proper divisors (973829256).

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

442324344 is a wasteful number, since it uses less digits than its factorization.

442324344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6533 (or 6529 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 442324344 is about 21031.5083624547. The cubic root of 442324344 is about 761.9274391678.

Adding to 442324344 its reverse (443423244), we get a palindrome (885747588).

The spelling of 442324344 in words is "four hundred forty-two million, three hundred twenty-four thousand, three hundred forty-four".