442723890625 has 21 divisors (see below), whose sum is σ = 553501762743. Its totient is φ = 354112575000.

The previous prime is 442723890563. The next prime is 442723890629. The reversal of 442723890625 is 526098327244.

The square root of 442723890625 is 665375.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 387868629681 + 54855260944 = 622791^2 + 234212^2 .

It is not a de Polignac number, because 442723890625 - 2⁹ = 442723890113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442723890629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 83169214 + ... + 83174536.

Almost surely, 2^442723890625 is an apocalyptic number.

442723890625 is the 665375-th square number.

442723890625 is the 332688-th centered octagonal number.

It is an amenable number.

442723890625 is a deficient number, since it is larger than the sum of its proper divisors (110777872118).

442723890625 is an frugal number, since it uses more digits than its factorization.

442723890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10676 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 442723890625 in words is "four hundred forty-two billion, seven hundred twenty-three million, eight hundred ninety thousand, six hundred twenty-five".