442454482208 has 54 divisors (see below), whose sum is σ = 886541434569. Its totient is φ = 217368506112.

The previous prime is 442454482193. The next prime is 442454482259. The reversal of 442454482208 is 802284454244.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 417228148624 + 25226333584 = 645932^2 + 158828^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=470348.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 222003260 + ... + 222005252.

Almost surely, 2^442454482208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442454482208

442454482208 is an abundant number, since it is smaller than the sum of its proper divisors (444086952361).

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

442454482208 is an frugal number, since it uses more digits than its factorization.

442454482208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 47.

The spelling of 442454482208 in words is "four hundred forty-two billion, four hundred fifty-four million, four hundred eighty-two thousand, two hundred eight".