444408480 has 288 divisors, whose sum is σ = 1643241600. Its totient is φ = 108988416.

The previous prime is 444408469. The next prime is 444408487. The reversal of 444408480 is 84804444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (444408487) 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 47 ways as a sum of consecutive naturals, for example, 1012101 + ... + 1012539.

It is an arithmetic number, because the mean of its divisors is an integer number (5705700).

Almost surely, 2^444408480 is an apocalyptic number.

444408480 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 444408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821620800).

444408480 is an abundant number, since it is smaller than the sum of its proper divisors (1198833120).

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

444408480 is a wasteful number, since it uses less digits than its factorization.

444408480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 444408480 is about 21080.9980788387. The cubic root of 444408480 is about 763.1222433077.

The spelling of 444408480 in words is "four hundred forty-four million, four hundred eight thousand, four hundred eighty".