444100 has 18 divisors (see below), whose sum is σ = 963914. Its totient is φ = 177600.

The previous prime is 444089. The next prime is 444109. The reversal of 444100 is 1444.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16384 + 427716 = 128^2 + 654^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444109) by changing a digit.

444100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2121 + ... + 2320.

2⁴⁴⁴¹⁰⁰ is an apocalyptic number.

It is an amenable number.

444100 is an abundant number, since it is smaller than the sum of its proper divisors (519814).

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

444100 is a wasteful number, since it uses less digits than its factorization.

444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 444100 is about 666.4082832618. The cubic root of 444100 is about 76.2945632187.

Adding to 444100 its reverse (1444), we get a palindrome (445544).

It can be divided in two parts, 4 and 44100, that multiplied together give a square (176400 = 420²).

The spelling of 444100 in words is "four hundred forty-four thousand, one hundred", and thus it is an iban number.