444525444 has 216 divisors, whose sum is σ = 1341980640. Its totient is φ = 123552000.

The previous prime is 444525413. The next prime is 444525449.

444525444 is nontrivially palindromic in base 10.

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 = 444525399 and 444525408.

It is not an unprimeable number, because it can be changed into a prime (444525449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3393259 + ... + 3393389.

Almost surely, 2^444525444 is an apocalyptic number.

444525444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444525444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670990320).

444525444 is an abundant number, since it is smaller than the sum of its proper divisors (897455196).

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

444525444 is a wasteful number, since it uses less digits than its factorization.

444525444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

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

The square root of 444525444 is about 21083.7720534064. The cubic root of 444525444 is about 763.1891862252.

The spelling of 444525444 in words is "four hundred forty-four million, five hundred twenty-five thousand, four hundred forty-four".