444040704 has 240 divisors, whose sum is σ = 1376286912. Its totient is φ = 142829568.

The previous prime is 444040703. The next prime is 444040757. The reversal of 444040704 is 407040444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444040703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5349847 + ... + 5349929.

Almost surely, 2^444040704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688143456).

444040704 is an abundant number, since it is smaller than the sum of its proper divisors (932246208).

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

444040704 is an frugal number, since it uses more digits than its factorization.

444040704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 444040704 is about 21072.2733467464. The cubic root of 444040704 is about 762.9116746416.

The spelling of 444040704 in words is "four hundred forty-four million, forty thousand, seven hundred four".