444778368 has 64 divisors (see below), whose sum is σ = 1193722320. Its totient is φ = 146718720.

The previous prime is 444778357. The next prime is 444778381. The reversal of 444778368 is 863877444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 444778368.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31278 + ... + 43218.

Almost surely, 2^444778368 is an apocalyptic number.

444778368 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 444778368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596861160).

444778368 is an abundant number, since it is smaller than the sum of its proper divisors (748943952).

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

444778368 is a wasteful number, since it uses less digits than its factorization.

444778368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12055 (or 12043 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 51.

The square root of 444778368 is about 21089.7692732756. The cubic root of 444778368 is about 763.3339040484. Note that the first 3 decimals are identical.

The spelling of 444778368 in words is "four hundred forty-four million, seven hundred seventy-eight thousand, three hundred sixty-eight".