445484544 has 160 divisors (see below), whose sum is σ = 1253625120. Its totient is φ = 140378112.

The previous prime is 445484531. The next prime is 445484581.

445484544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445484496 and 445484505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3251644 + ... + 3251780.

It is an arithmetic number, because the mean of its divisors is an integer number (7835157).

Almost surely, 2^445484544 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 445484544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626812560).

445484544 is an abundant number, since it is smaller than the sum of its proper divisors (808140576).

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

445484544 is a wasteful number, since it uses less digits than its factorization.

445484544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its digits is 819200, while the sum is 42.

The square root of 445484544 is about 21106.5047793328. The cubic root of 445484544 is about 763.7376729742.

The spelling of 445484544 in words is "four hundred forty-five million, four hundred eighty-four thousand, five hundred forty-four".