442526048 has 72 divisors (see below), whose sum is σ = 936104400. Its totient is φ = 205867008.

The previous prime is 442526047. The next prime is 442526053. The reversal of 442526048 is 840625244.

It is a junction number, because it is equal to n+sod(n) for n = 442525999 and 442526017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442526047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1007813 + ... + 1008251.

It is an arithmetic number, because the mean of its divisors is an integer number (13001450).

Almost surely, 2^442526048 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 442526048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468052200).

442526048 is an abundant number, since it is smaller than the sum of its proper divisors (493578352).

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

442526048 is a wasteful number, since it uses less digits than its factorization.

442526048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 442526048 is about 21036.3030972650. The cubic root of 442526048 is about 762.0432368924.

The spelling of 442526048 in words is "four hundred forty-two million, five hundred twenty-six thousand, forty-eight".