444012480 has 168 divisors, whose sum is σ = 1538837664. Its totient is φ = 117504000.

The previous prime is 444012461. The next prime is 444012509. The reversal of 444012480 is 84210444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434370 + ... + 435390.

It is an arithmetic number, because the mean of its divisors is an integer number (9159748).

Almost surely, 2^444012480 is an apocalyptic number.

444012480 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 444012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769418832).

444012480 is an abundant number, since it is smaller than the sum of its proper divisors (1094825184).

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

444012480 is a wasteful number, since it uses less digits than its factorization.

444012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 444012480 is about 21071.6036409192. The cubic root of 444012480 is about 762.8955103012.

The spelling of 444012480 in words is "four hundred forty-four million, twelve thousand, four hundred eighty".