1983057440 has 144 divisors (see below), whose sum is σ = 5869388952. Its totient is φ = 627572736.

The previous prime is 1983057421. The next prime is 1983057443. The reversal of 1983057440 is 447503891.

It can be written as a sum of positive squares in 4 ways, for example, as 1543232656 + 439824784 = 39284^2 + 20972^2 .

It is not an unprimeable number, because it can be changed into a prime (1983057443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92192 + ... + 111648.

Almost surely, 2^1983057440 is an apocalyptic number.

1983057440 is a gapful number since it is divisible by the number (10) 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 1983057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934694476).

1983057440 is an abundant number, since it is smaller than the sum of its proper divisors (3886331512).

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

1983057440 is a wasteful number, since it uses less digits than its factorization.

1983057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19499 (or 19484 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 1983057440 is about 44531.5330973458. The cubic root of 1983057440 is about 1256.3532415502.

The spelling of 1983057440 in words is "one billion, nine hundred eighty-three million, fifty-seven thousand, four hundred forty".