444862080 has 288 divisors, whose sum is σ = 1667060460. Its totient is φ = 109264896.

The previous prime is 444862049. The next prime is 444862087. The reversal of 444862080 is 80268444.

444862080 is a `hidden beast` number, since 4 + 448 + 6 + 208 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 113039424 + 331822656 = 10632^2 + 18216^2 .

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 (444862087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 973212 + ... + 973668.

Almost surely, 2^444862080 is an apocalyptic number.

444862080 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 444862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833530230).

444862080 is an abundant number, since it is smaller than the sum of its proper divisors (1222198380).

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

444862080 is a wasteful number, since it uses less digits than its factorization.

444862080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 444862080 is about 21091.7538388822. The cubic root of 444862080 is about 763.3817902196.

The spelling of 444862080 in words is "four hundred forty-four million, eight hundred sixty-two thousand, eighty".