442318944 has 48 divisors (see below), whose sum is σ = 1167152112. Its totient is φ = 146669568.

The previous prime is 442318913. The next prime is 442318963. The reversal of 442318944 is 449813244.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 6592 + ... + 30464.

It is an arithmetic number, because the mean of its divisors is an integer number (24315669).

Almost surely, 2^442318944 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 442318944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583576056).

442318944 is an abundant number, since it is smaller than the sum of its proper divisors (724833168).

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

442318944 is a wasteful number, since it uses less digits than its factorization.

442318944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24079 (or 24071 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 442318944 is about 21031.3799832536. The cubic root of 442318944 is about 761.9243385585.

The spelling of 442318944 in words is "four hundred forty-two million, three hundred eighteen thousand, nine hundred forty-four".