444644928 has 336 divisors, whose sum is σ = 1664208000. Its totient is φ = 110149632.

The previous prime is 444644903. The next prime is 444644939. The reversal of 444644928 is 829446444.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×444644928² = 395418223992250368, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 890823 + ... + 891321.

It is an arithmetic number, because the mean of its divisors is an integer number (4953000).

Almost surely, 2^444644928 is an apocalyptic number.

444644928 is a gapful number since it is divisible by the number (48) 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 444644928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832104000).

444644928 is an abundant number, since it is smaller than the sum of its proper divisors (1219563072).

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

444644928 is a wasteful number, since it uses less digits than its factorization.

444644928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 541 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 444644928 is about 21086.6054167094. The cubic root of 444644928 is about 763.2575593101.

The spelling of 444644928 in words is "four hundred forty-four million, six hundred forty-four thousand, nine hundred twenty-eight".