442133312 has 28 divisors (see below), whose sum is σ = 879757956. Its totient is φ = 220462080.

The previous prime is 442133311. The next prime is 442133317. The reversal of 442133312 is 213331244.

It can be written as a sum of positive squares in 2 ways, for example, as 372644416 + 69488896 = 19304^2 + 8336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442133311) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 14612 + ... + 33132.

It is an arithmetic number, because the mean of its divisors is an integer number (31419927).

Almost surely, 2^442133312 is an apocalyptic number.

It is an amenable number.

442133312 is a deficient number, since it is larger than the sum of its proper divisors (437624644).

442133312 is a wasteful number, since it uses less digits than its factorization.

442133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18906 (or 18896 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 442133312 is about 21026.9663051996. The cubic root of 442133312 is about 761.8177357466.

Adding to 442133312 its reverse (213331244), we get a palindrome (655464556).

The spelling of 442133312 in words is "four hundred forty-two million, one hundred thirty-three thousand, three hundred twelve".