442583972 has 24 divisors (see below), whose sum is σ = 779458680. Its totient is φ = 219887360.

The previous prime is 442583969. The next prime is 442584013. The reversal of 442583972 is 279385244.

It can be written as a sum of positive squares in 4 ways, for example, as 9278116 + 433305856 = 3046^2 + 20816^2 .

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 7 ways as a sum of consecutive naturals, for example, 717008 + ... + 717624.

It is an arithmetic number, because the mean of its divisors is an integer number (32477445).

Almost surely, 2^442583972 is an apocalyptic number.

It is an amenable number.

442583972 is a deficient number, since it is larger than the sum of its proper divisors (336874708).

442583972 is a wasteful number, since it uses less digits than its factorization.

442583972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1469 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 442583972 is about 21037.6798150366. The cubic root of 442583972 is about 762.0764844017.

The spelling of 442583972 in words is "four hundred forty-two million, five hundred eighty-three thousand, nine hundred seventy-two".