445424544 has 72 divisors (see below), whose sum is σ = 1279300932. Its totient is φ = 146995200.

The previous prime is 445424503. The next prime is 445424549.

445424544 is a `hidden beast` number, since 44 + 54 + 24 + 544 = 666.

445424544 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 441504144 + 3920400 = 21012^2 + 1980^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 445424499 and 445424508.

It is not an unprimeable number, because it can be changed into a prime (445424549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21432 + ... + 36744.

Almost surely, 2^445424544 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 445424544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639650466).

445424544 is an abundant number, since it is smaller than the sum of its proper divisors (833876388).

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

445424544 is a wasteful number, since it uses less digits than its factorization.

445424544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15430 (or 15419 counting only the distinct ones).

The product of its digits is 204800, while the sum is 36.

The square root of 445424544 is about 21105.0833687053. The cubic root of 445424544 is about 763.7033834809.

The spelling of 445424544 in words is "four hundred forty-five million, four hundred twenty-four thousand, five hundred forty-four".