444780882 has 192 divisors, whose sum is σ = 1254839040. Its totient is φ = 114960384.

The previous prime is 444780851. The next prime is 444780913. The reversal of 444780882 is 288087444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444780851) and next prime (444780913).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3936058 + ... + 3936170.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2^444780882 is an apocalyptic number.

444780882 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 444780882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

444780882 is an abundant number, since it is smaller than the sum of its proper divisors (810058158).

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

444780882 is a wasteful number, since it uses less digits than its factorization.

444780882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 444780882 is about 21089.8288755504. The cubic root of 444780882 is about 763.3353422312.

The spelling of 444780882 in words is "four hundred forty-four million, seven hundred eighty thousand, eight hundred eighty-two".