444391400 has 48 divisors (see below), whose sum is σ = 1035871200. Its totient is φ = 177298880.

The previous prime is 444391397. The next prime is 444391411. The reversal of 444391400 is 4193444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81149 + ... + 86451.

It is an arithmetic number, because the mean of its divisors is an integer number (21580650).

Almost surely, 2^444391400 is an apocalyptic number.

444391400 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 444391400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517935600).

444391400 is an abundant number, since it is smaller than the sum of its proper divisors (591479800).

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

444391400 is a wasteful number, since it uses less digits than its factorization.

444391400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 444391400 is about 21080.5929707871. The cubic root of 444391400 is about 763.1124667954.

The spelling of 444391400 in words is "four hundred forty-four million, three hundred ninety-one thousand, four hundred".