442144000 has 144 divisors (see below), whose sum is σ = 1131648336. Its totient is φ = 172032000.

The previous prime is 442143997. The next prime is 442144033. The reversal of 442144000 is 441244.

It can be written as a sum of positive squares in 8 ways, for example, as 315986176 + 126157824 = 17776^2 + 11232^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1311832 + ... + 1312168.

It is an arithmetic number, because the mean of its divisors is an integer number (7858669).

Almost surely, 2^442144000 is an apocalyptic number.

442144000 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 442144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565824168).

442144000 is an abundant number, since it is smaller than the sum of its proper divisors (689504336).

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

442144000 is an equidigital number, since it uses as much as digits as its factorization.

442144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 442144000 is about 21027.2204534979. The cubic root of 442144000 is about 761.8238743494.

Adding to 442144000 its reverse (441244), we get a palindrome (442585244).

The spelling of 442144000 in words is "four hundred forty-two million, one hundred forty-four thousand".