442008450 has 72 divisors (see below), whose sum is σ = 1278894708. Its totient is φ = 108800640.

The previous prime is 442008433. The next prime is 442008451. The reversal of 442008450 is 54800244.

442008450 is a `hidden beast` number, since 4 + 4 + 200 + 8 + 450 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 171636201 + 270372249 = 13101^2 + 16443^2 .

It is not an unprimeable number, because it can be changed into a prime (442008451) 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 35 ways as a sum of consecutive naturals, for example, 31929 + ... + 43628.

Almost surely, 2^442008450 is an apocalyptic number.

442008450 is an abundant number, since it is smaller than the sum of its proper divisors (836886258).

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

442008450 is a wasteful number, since it uses less digits than its factorization.

442008450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75588 (or 75580 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 442008450 is about 21023.9970034244. The cubic root of 442008450 is about 761.7460145113.

Adding to 442008450 its reverse (54800244), we get a palindrome (496808694).

It can be divided in two parts, 44200 and 8450, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 442008450 in words is "four hundred forty-two million, eight thousand, four hundred fifty".