444848874960 has 1280 divisors, whose sum is σ = 1788365537280. Its totient is φ = 89173524480.

The previous prime is 444848874937. The next prime is 444848874973. The reversal of 444848874960 is 69478848444.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 444848874891 and 444848874900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3247072012 + ... + 3247072148.

It is an arithmetic number, because the mean of its divisors is an integer number (1397160576).

Almost surely, 2^444848874960 is an apocalyptic number.

444848874960 is a gapful number since it is divisible by the number (40) 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 444848874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894182768640).

444848874960 is an abundant number, since it is smaller than the sum of its proper divisors (1343516662320).

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

444848874960 is a wasteful number, since it uses less digits than its factorization.

444848874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 66.

The spelling of 444848874960 in words is "four hundred forty-four billion, eight hundred forty-eight million, eight hundred seventy-four thousand, nine hundred sixty".