444928480 has 48 divisors (see below), whose sum is σ = 1055043360. Its totient is φ = 177311232.

The previous prime is 444928459. The next prime is 444928487. The reversal of 444928480 is 84829444.

It is a super-2 number, since 2×444928480² = 395922704630220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444928487) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39301 + ... + 49339.

It is an arithmetic number, because the mean of its divisors is an integer number (21980070).

Almost surely, 2^444928480 is an apocalyptic number.

444928480 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 444928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527521680).

444928480 is an abundant number, since it is smaller than the sum of its proper divisors (610114880).

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

444928480 is a wasteful number, since it uses less digits than its factorization.

444928480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10323 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The square root of 444928480 is about 21093.3278550351. The cubic root of 444928480 is about 763.4197690535.

The spelling of 444928480 in words is "four hundred forty-four million, nine hundred twenty-eight thousand, four hundred eighty".