1445842944 has 312 divisors, whose sum is σ = 5152073472. Its totient is φ = 380436480.

The previous prime is 1445842933. The next prime is 1445842963. The reversal of 1445842944 is 4492485441.

1445842944 is a `hidden beast` number, since 1 + 4 + 4 + 584 + 29 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a self number, because there is not a number n which added to its sum of digits gives 1445842944.

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 23 ways as a sum of consecutive naturals, for example, 3354409 + ... + 3354839.

It is an arithmetic number, because the mean of its divisors is an integer number (16513056).

Almost surely, 2^1445842944 is an apocalyptic number.

1445842944 is a gapful number since it is divisible by the number (14) 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 1445842944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576036736).

1445842944 is an abundant number, since it is smaller than the sum of its proper divisors (3706230528).

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

1445842944 is a wasteful number, since it uses less digits than its factorization.

1445842944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 456 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 1445842944 is about 38024.2415308971. The cubic root of 1445842944 is about 1130.7685126406.

The spelling of 1445842944 in words is "one billion, four hundred forty-five million, eight hundred forty-two thousand, nine hundred forty-four".