444070800 has 180 divisors, whose sum is σ = 1549981524. Its totient is φ = 117734400.

The previous prime is 444070799. The next prime is 444070807. The reversal of 444070800 is 8070444.

It can be written as a sum of positive squares in 6 ways, for example, as 22014864 + 422055936 = 4692^2 + 20544^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (444070807) 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, 1054590 + ... + 1055010.

Almost surely, 2^444070800 is an apocalyptic number.

444070800 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 444070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774990762).

444070800 is an abundant number, since it is smaller than the sum of its proper divisors (1105910724).

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

444070800 is a wasteful number, since it uses less digits than its factorization.

444070800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 444070800 is about 21072.9874483899. The cubic root of 444070800 is about 762.9289103521.

The spelling of 444070800 in words is "four hundred forty-four million, seventy thousand, eight hundred".