444627920 has 80 divisors (see below), whose sum is σ = 1135641600. Its totient is φ = 160550400.

The previous prime is 444627919. The next prime is 444627923. The reversal of 444627920 is 29726444.

444627920 = 370² + 371² + ... + 1114².

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444627923) by changing a digit.

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, 129425 + ... + 132815.

It is an arithmetic number, because the mean of its divisors is an integer number (14195520).

Almost surely, 2^444627920 is an apocalyptic number.

444627920 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 444627920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567820800).

444627920 is an abundant number, since it is smaller than the sum of its proper divisors (691013680).

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

444627920 is a wasteful number, since it uses less digits than its factorization.

444627920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 444627920 is about 21086.2021236637. The cubic root of 444627920 is about 763.2478274624.

The spelling of 444627920 in words is "four hundred forty-four million, six hundred twenty-seven thousand, nine hundred twenty".