442394784 has 240 divisors, whose sum is σ = 1477032480. Its totient is φ = 128770560.

The previous prime is 442394747. The next prime is 442394833. The reversal of 442394784 is 487493244.

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 39 ways as a sum of consecutive naturals, for example, 639879 + ... + 640569.

It is an arithmetic number, because the mean of its divisors is an integer number (6154302).

Almost surely, 2^442394784 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 442394784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738516240).

442394784 is an abundant number, since it is smaller than the sum of its proper divisors (1034637696).

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

442394784 is a wasteful number, since it uses less digits than its factorization.

442394784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 728 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 442394784 is about 21033.1829260338. The cubic root of 442394784 is about 761.9678825821.

The spelling of 442394784 in words is "four hundred forty-two million, three hundred ninety-four thousand, seven hundred eighty-four".