442441524 has 192 divisors, whose sum is σ = 1374105600. Its totient is φ = 107661312.

The previous prime is 442441513. The next prime is 442441529. The reversal of 442441524 is 425144244.

It is a junction number, because it is equal to n+sod(n) for n = 442441491 and 442441500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442441529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 623682 + ... + 624390.

It is an arithmetic number, because the mean of its divisors is an integer number (7156800).

Almost surely, 2^442441524 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 442441524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687052800).

442441524 is an abundant number, since it is smaller than the sum of its proper divisors (931664076).

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

442441524 is a wasteful number, since it uses less digits than its factorization.

442441524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its digits is 20480, while the sum is 30.

The square root of 442441524 is about 21034.2939981355. The cubic root of 442441524 is about 761.9947161750.

Adding to 442441524 its reverse (425144244), we get a palindrome (867585768).

The spelling of 442441524 in words is "four hundred forty-two million, four hundred forty-one thousand, five hundred twenty-four".