445389390625 has 63 divisors (see below), whose sum is σ = 589671807573. Its totient is φ = 336357000000.

The previous prime is 445389390601. The next prime is 445389390689. The reversal of 445389390625 is 526093983544.

The square root of 445389390625 is 667375.

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

It can be written as a sum of positive squares in 10 ways, for example, as 418962336529 + 26427054096 = 647273^2 + 162564^2 .

It is a de Polignac number, because none of the positive numbers 2^k-445389390625 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 445389390625.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 1585015485 + ... + 1585015765.

Almost surely, 2^445389390625 is an apocalyptic number.

445389390625 is the 667375-th square number.

445389390625 is the 333688-th centered octagonal number.

It is an amenable number.

445389390625 is a deficient number, since it is larger than the sum of its proper divisors (144282416948).

445389390625 is an frugal number, since it uses more digits than its factorization.

445389390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 58.

The spelling of 445389390625 in words is "four hundred forty-five billion, three hundred eighty-nine million, three hundred ninety thousand, six hundred twenty-five".