444404400 has 240 divisors, whose sum is σ = 1570935168. Its totient is φ = 106496000.

The previous prime is 444404399. The next prime is 444404423. The reversal of 444404400 is 4404444.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1729072 + ... + 1729328.

Almost surely, 2^444404400 is an apocalyptic number.

444404400 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 444404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785467584).

444404400 is an abundant number, since it is smaller than the sum of its proper divisors (1126530768).

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

444404400 is a wasteful number, since it uses less digits than its factorization.

444404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 409 counting only the distinct ones).

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

The square root of 444404400 is about 21080.9013090048. The cubic root of 444404400 is about 763.1199079576.

Adding to 444404400 its reverse (4404444), we get a palindrome (448808844).

The spelling of 444404400 in words is "four hundred forty-four million, four hundred four thousand, four hundred".