442372624 has 20 divisors (see below), whose sum is σ = 858128236. Its totient is φ = 220920192.

The previous prime is 442372621. The next prime is 442372681. The reversal of 442372624 is 426273244.

It can be written as a sum of positive squares in 2 ways, for example, as 208282624 + 234090000 = 14432^2 + 15300^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 442372624.

It is not an unprimeable number, because it can be changed into a prime (442372621) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2559 + ... + 29854.

Almost surely, 2^442372624 is an apocalyptic number.

It is an amenable number.

442372624 is a deficient number, since it is larger than the sum of its proper divisors (415755612).

442372624 is a wasteful number, since it uses less digits than its factorization.

442372624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33274 (or 33268 counting only the distinct ones).

The product of its digits is 64512, while the sum is 34.

The square root of 442372624 is about 21032.6561327855. The cubic root of 442372624 is about 761.9551597903.

The spelling of 442372624 in words is "four hundred forty-two million, three hundred seventy-two thousand, six hundred twenty-four".