444260768 has 48 divisors (see below), whose sum is σ = 1002415680. Its totient is φ = 189858816.

The previous prime is 444260767. The next prime is 444260777. The reversal of 444260768 is 867062444.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (444260767) 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, 82280 + ... + 87512.

It is an arithmetic number, because the mean of its divisors is an integer number (20883660).

Almost surely, 2^444260768 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 444260768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501207840).

444260768 is an abundant number, since it is smaller than the sum of its proper divisors (558154912).

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

444260768 is a wasteful number, since it uses less digits than its factorization.

444260768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The square root of 444260768 is about 21077.4943482379. The cubic root of 444260768 is about 763.0376853623.

The spelling of 444260768 in words is "four hundred forty-four million, two hundred sixty thousand, seven hundred sixty-eight".