442585072 has 40 divisors (see below), whose sum is σ = 914954832. Its totient is φ = 206668800.

The previous prime is 442585061. The next prime is 442585081. The reversal of 442585072 is 270585244.

It is a happy number.

It is a congruent number.

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, 29422 + ... + 41842.

Almost surely, 2^442585072 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 442585072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457477416).

442585072 is an abundant number, since it is smaller than the sum of its proper divisors (472369760).

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

442585072 is a wasteful number, since it uses less digits than its factorization.

442585072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12577 (or 12571 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The square root of 442585072 is about 21037.7059585878. The cubic root of 442585072 is about 762.0771157571.

The spelling of 442585072 in words is "four hundred forty-two million, five hundred eighty-five thousand, seventy-two".