444330768 has 160 divisors (see below), whose sum is σ = 1403910144. Its totient is φ = 118204416.

The previous prime is 444330727. The next prime is 444330769. The reversal of 444330768 is 867033444.

It is a super-4 number, since 4×444330768⁴ (a number of 36 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (444330769) 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, 610821 + ... + 611547.

Almost surely, 2^444330768 is an apocalyptic number.

444330768 is a gapful number since it is divisible by the number (48) 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 444330768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701955072).

444330768 is an abundant number, since it is smaller than the sum of its proper divisors (959579376).

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

444330768 is a wasteful number, since it uses less digits than its factorization.

444330768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 444330768 is about 21079.1548217665. The cubic root of 444330768 is about 763.0777592985.

The spelling of 444330768 in words is "four hundred forty-four million, three hundred thirty thousand, seven hundred sixty-eight".