444045720 has 64 divisors (see below), whose sum is σ = 1344625920. Its totient is φ = 117302144.

The previous prime is 444045697. The next prime is 444045731. The reversal of 444045720 is 27540444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4452 + ... + 30131.

It is an arithmetic number, because the mean of its divisors is an integer number (21009780).

Almost surely, 2^444045720 is an apocalyptic number.

444045720 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 444045720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672312960).

444045720 is an abundant number, since it is smaller than the sum of its proper divisors (900580200).

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

444045720 is a wasteful number, since it uses less digits than its factorization.

444045720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34704 (or 34700 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 444045720 is about 21072.3923653675. The cubic root of 444045720 is about 762.9145473141.

The spelling of 444045720 in words is "four hundred forty-four million, forty-five thousand, seven hundred twenty".