444400432 has 80 divisors (see below), whose sum is σ = 1003110400. Its totient is φ = 186810624.

The previous prime is 444400427. The next prime is 444400447. The reversal of 444400432 is 234004444.

It is a junction number, because it is equal to n+sod(n) for n = 444400397 and 444400406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2233069 + ... + 2233267.

It is an arithmetic number, because the mean of its divisors is an integer number (12538880).

Almost surely, 2^444400432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501555200).

444400432 is an abundant number, since it is smaller than the sum of its proper divisors (558709968).

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

444400432 is a wasteful number, since it uses less digits than its factorization.

444400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 444400432 is about 21080.8071951716. The cubic root of 444400432 is about 763.1176367013.

Adding to 444400432 its reverse (234004444), we get a palindrome (678404876).

The spelling of 444400432 in words is "four hundred forty-four million, four hundred thousand, four hundred thirty-two".