1445984384 has 64 divisors (see below), whose sum is σ = 3120051480. Its totient is φ = 663552000.

The previous prime is 1445984381. The next prime is 1445984387. The reversal of 1445984384 is 4834895441.

It is an interprime number because it is at equal distance from previous prime (1445984381) and next prime (1445984387).

It can be written as a sum of positive squares in 4 ways, for example, as 574081600 + 871902784 = 23960^2 + 29528^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1445984381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298784 + ... + 303584.

Almost surely, 2^1445984384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560025740).

1445984384 is an abundant number, since it is smaller than the sum of its proper divisors (1674067096).

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

1445984384 is a wasteful number, since it uses less digits than its factorization.

1445984384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 4997 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 50.

The square root of 1445984384 is about 38026.1013515717. The cubic root of 1445984384 is about 1130.8053840229.

The spelling of 1445984384 in words is "one billion, four hundred forty-five million, nine hundred eighty-four thousand, three hundred eighty-four".