442575840 has 288 divisors, whose sum is σ = 1676795904. Its totient is φ = 97735680.

The previous prime is 442575787. The next prime is 442575851. The reversal of 442575840 is 48575244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728817 + ... + 729423.

It is an arithmetic number, because the mean of its divisors is an integer number (5822208).

Almost surely, 2^442575840 is an apocalyptic number.

442575840 is a gapful number since it is divisible by the number (40) 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 442575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838397952).

442575840 is an abundant number, since it is smaller than the sum of its proper divisors (1234220064).

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

442575840 is a wasteful number, since it uses less digits than its factorization.

442575840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The square root of 442575840 is about 21037.4865418852. The cubic root of 442575840 is about 762.0718169304.

The spelling of 442575840 in words is "four hundred forty-two million, five hundred seventy-five thousand, eight hundred forty".