445716544 has 189 divisors, whose sum is σ = 1153845927. Its totient is φ = 170247168.

The previous prime is 445716527. The next prime is 445716547. The reversal of 445716544 is 445617544.

The square root of 445716544 is 21112.

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

It can be written as a sum of positive squares in 4 ways, for example, as 57153600 + 388562944 = 7560^2 + 19712^2 .

It is a junction number, because it is equal to n+sod(n) for n = 445716497 and 445716506.

It is not an unprimeable number, because it can be changed into a prime (445716547) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15369522 + ... + 15369550.

Almost surely, 2^445716544 is an apocalyptic number.

445716544 is the 21112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445716544

445716544 is an abundant number, since it is smaller than the sum of its proper divisors (708129383).

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

445716544 is a wasteful number, since it uses less digits than its factorization.

445716544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 51 counting only the distinct ones).

The product of its digits is 268800, while the sum is 40.

The cubic root of 445716544 is about 763.8702300537.

It can be divided in two parts, 44571 and 6544, that added together give a palindrome (51115).

The spelling of 445716544 in words is "four hundred forty-five million, seven hundred sixteen thousand, five hundred forty-four".