444074400 has 720 divisors, whose sum is σ = 2041744320. Its totient is φ = 91238400.

The previous prime is 444074369. The next prime is 444074417. The reversal of 444074400 is 4470444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4989556 + ... + 4989644.

It is an arithmetic number, because the mean of its divisors is an integer number (2835756).

Almost surely, 2^444074400 is an apocalyptic number.

444074400 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 444074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020872160).

444074400 is an abundant number, since it is smaller than the sum of its proper divisors (1597669920).

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

444074400 is a wasteful number, since it uses less digits than its factorization.

444074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 444074400 is about 21073.0728656264. The cubic root of 444074400 is about 762.9309719878.

The spelling of 444074400 in words is "four hundred forty-four million, seventy-four thousand, four hundred".