983144448 has 288 divisors, whose sum is σ = 3344861520. Its totient is φ = 274268160.

The previous prime is 983144429. The next prime is 983144467. The reversal of 983144448 is 844441389.

It is an interprime number because it is at equal distance from previous prime (983144429) and next prime (983144467).

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

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, 2635590 + ... + 2635962.

Almost surely, 2^983144448 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 983144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672430760).

983144448 is an abundant number, since it is smaller than the sum of its proper divisors (2361717072).

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

983144448 is a wasteful number, since it uses less digits than its factorization.

983144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 983144448 is about 31355.1343164082. The cubic root of 983144448 is about 994.3496159598.

The spelling of 983144448 in words is "nine hundred eighty-three million, one hundred forty-four thousand, four hundred forty-eight".