444573480 has 256 divisors, whose sum is σ = 1538611200. Its totient is φ = 101928960.

The previous prime is 444573461. The next prime is 444573491. The reversal of 444573480 is 84375444.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1402282 + ... + 1402598.

It is an arithmetic number, because the mean of its divisors is an integer number (6010200).

Almost surely, 2^444573480 is an apocalyptic number.

444573480 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 444573480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769305600).

444573480 is an abundant number, since it is smaller than the sum of its proper divisors (1094037720).

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

444573480 is a wasteful number, since it uses less digits than its factorization.

444573480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 444573480 is about 21084.9111926041. The cubic root of 444573480 is about 763.2166756418.

The spelling of 444573480 in words is "four hundred forty-four million, five hundred seventy-three thousand, four hundred eighty".