444440400 has 240 divisors, whose sum is σ = 1521301440. Its totient is φ = 110592000.

The previous prime is 444440393. The next prime is 444440417. The reversal of 444440400 is 4044444.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2302704 + ... + 2302896.

It is an arithmetic number, because the mean of its divisors is an integer number (6338756).

Almost surely, 2^444440400 is an apocalyptic number.

444440400 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 444440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760650720).

444440400 is an abundant number, since it is smaller than the sum of its proper divisors (1076861040).

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

444440400 is a wasteful number, since it uses less digits than its factorization.

444440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 444440400 is about 21081.7551451486. The cubic root of 444440400 is about 763.1405134953.

Adding to 444440400 its reverse (4044444), we get a palindrome (448484844).

It can be divided in two parts, 4444 and 40400, that added together give a palindrome (44844).

The spelling of 444440400 in words is "four hundred forty-four million, four hundred forty thousand, four hundred".