444400 has 60 divisors (see below), whose sum is σ = 1176264. Its totient is φ = 160000.

The previous prime is 444349. The next prime is 444401. The reversal of 444400 is 4444.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444401) by changing a digit.

444400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4350 + ... + 4450.

2⁴⁴⁴⁴⁰⁰ is an apocalyptic number.

444400 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 444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588132).

444400 is an abundant number, since it is smaller than the sum of its proper divisors (731864).

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

444400 is a wasteful number, since it uses less digits than its factorization.

444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 444400 is about 666.6333325000. The cubic root of 444400 is about 76.3117389427.

Adding to 444400 its reverse (4444), we get a palindrome (448844).

Multiplying 444400 by its reverse (4444), we get a square (1974913600 = 44440²).

444400 divided by its reverse (4444) gives a square (100 = 10²).

It can be divided in two parts, 44 and 4400, that multiplied together give a square (193600 = 440²).

The spelling of 444400 in words is "four hundred forty-four thousand, four hundred", and thus it is an iban number.