442044720 has 240 divisors, whose sum is σ = 1620833760. Its totient is φ = 107311104.

The previous prime is 442044703. The next prime is 442044817. The reversal of 442044720 is 27440244.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 776596 + ... + 777164.

It is an arithmetic number, because the mean of its divisors is an integer number (6753474).

Almost surely, 2^442044720 is an apocalyptic number.

442044720 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 442044720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810416880).

442044720 is an abundant number, since it is smaller than the sum of its proper divisors (1178789040).

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

442044720 is a wasteful number, since it uses less digits than its factorization.

442044720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 442044720 is about 21024.8595714692. The cubic root of 442044720 is about 761.7668495370.

Adding to 442044720 its reverse (27440244), we get a palindrome (469484964).

The spelling of 442044720 in words is "four hundred forty-two million, forty-four thousand, seven hundred twenty".