444405504 has 72 divisors (see below), whose sum is σ = 1187604880. Its totient is φ = 147529728.

The previous prime is 444405487. The next prime is 444405509. The reversal of 444405504 is 405504444.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444405509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211692 + ... + 213780.

Almost surely, 2^444405504 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 444405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593802440).

444405504 is an abundant number, since it is smaller than the sum of its proper divisors (743199376).

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

444405504 is a wasteful number, since it uses less digits than its factorization.

444405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 444405504 is about 21080.9274938272. The cubic root of 444405504 is about 763.1205398772.

Adding to 444405504 its reverse (405504444), we get a palindrome (849909948).

The spelling of 444405504 in words is "four hundred forty-four million, four hundred five thousand, five hundred four".