442315332 has 36 divisors (see below), whose sum is σ = 1122978220. Its totient is φ = 146791872.

The previous prime is 442315309. The next prime is 442315387. The reversal of 442315332 is 233513244.

It can be written as a sum of positive squares in 2 ways, for example, as 218034756 + 224280576 = 14766^2 + 14976^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 442315296 and 442315305.

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 11 ways as a sum of consecutive naturals, for example, 18583 + ... + 35070.

Almost surely, 2^442315332 is an apocalyptic number.

It is an amenable number.

442315332 is an abundant number, since it is smaller than the sum of its proper divisors (680662888).

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

442315332 is a wasteful number, since it uses less digits than its factorization.

442315332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53892 (or 53887 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 442315332 is about 21031.2941113950. The cubic root of 442315332 is about 761.9222645813.

Adding to 442315332 its reverse (233513244), we get a palindrome (675828576).

The spelling of 442315332 in words is "four hundred forty-two million, three hundred fifteen thousand, three hundred thirty-two".