444418920 has 128 divisors (see below), whose sum is σ = 1616112000. Its totient is φ = 107735040.

The previous prime is 444418901. The next prime is 444418921. The reversal of 444418920 is 29814444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (444418921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6825 + ... + 30584.

It is an arithmetic number, because the mean of its divisors is an integer number (12625875).

Almost surely, 2^444418920 is an apocalyptic number.

444418920 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 444418920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808056000).

444418920 is an abundant number, since it is smaller than the sum of its proper divisors (1171693080).

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

444418920 is a wasteful number, since it uses less digits than its factorization.

444418920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37440 (or 37430 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 444418920 is about 21081.2456937440. The cubic root of 444418920 is about 763.1282189917.

It can be divided in two parts, 44441 and 8920, that added together give a square (53361 = 231²).

The spelling of 444418920 in words is "four hundred forty-four million, four hundred eighteen thousand, nine hundred twenty".