444881920 has 88 divisors (see below), whose sum is σ = 1219749984. Its totient is φ = 152518656.

The previous prime is 444881869. The next prime is 444881923. The reversal of 444881920 is 29188444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444881923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29634 + ... + 42046.

Almost surely, 2^444881920 is an apocalyptic number.

444881920 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 444881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609874992).

444881920 is an abundant number, since it is smaller than the sum of its proper divisors (774868064).

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

444881920 is a wasteful number, since it uses less digits than its factorization.

444881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12445 (or 12427 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 444881920 is about 21092.2241596281. The cubic root of 444881920 is about 763.3931385080.

It can be divided in two parts, 4448 and 81920, that added together give a palindrome (86368).

The spelling of 444881920 in words is "four hundred forty-four million, eight hundred eighty-one thousand, nine hundred twenty".