444890449920 has 768 divisors, whose sum is σ = 1708694507520. Its totient is φ = 96620249088.

The previous prime is 444890449907. The next prime is 444890449931. The reversal of 444890449920 is 29944098444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1449154407 + ... + 1449154713.

It is an arithmetic number, because the mean of its divisors is an integer number (2224862640).

Almost surely, 2^444890449920 is an apocalyptic number.

444890449920 is a gapful number since it is divisible by the number (40) 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 444890449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854347253760).

444890449920 is an abundant number, since it is smaller than the sum of its proper divisors (1263804057600).

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

444890449920 is a wasteful number, since it uses less digits than its factorization.

444890449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 444890449920 in words is "four hundred forty-four billion, eight hundred ninety million, four hundred forty-nine thousand, nine hundred twenty".