444320400 has 120 divisors (see below), whose sum is σ = 1428122880. Its totient is φ = 118085120.

The previous prime is 444320363. The next prime is 444320441. The reversal of 444320400 is 4023444.

It is a tau number, because it is divible by the number of its divisors (120).

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, 574414 + ... + 575186.

It is an arithmetic number, because the mean of its divisors is an integer number (11901024).

Almost surely, 2^444320400 is an apocalyptic number.

444320400 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 444320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714061440).

444320400 is an abundant number, since it is smaller than the sum of its proper divisors (983802480).

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

444320400 is a wasteful number, since it uses less digits than its factorization.

444320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 444320400 is about 21078.9088901679. The cubic root of 444320400 is about 763.0718240416.

Adding to 444320400 its reverse (4023444), we get a palindrome (448343844).

The spelling of 444320400 in words is "four hundred forty-four million, three hundred twenty thousand, four hundred".