1483916544 has 288 divisors, whose sum is σ = 4959561600. Its totient is φ = 433520640.

The previous prime is 1483916503. The next prime is 1483916557. The reversal of 1483916544 is 4456193841.

1483916544 is a `hidden beast` number, since 1 + 483 + 9 + 165 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1483916544.

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 31 ways as a sum of consecutive naturals, for example, 2204592 + ... + 2205264.

It is an arithmetic number, because the mean of its divisors is an integer number (17220700).

Almost surely, 2^1483916544 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 1483916544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479780800).

1483916544 is an abundant number, since it is smaller than the sum of its proper divisors (3475645056).

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

1483916544 is a wasteful number, since it uses less digits than its factorization.

1483916544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 718 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1483916544 is about 38521.6373483786. The cubic root of 1483916544 is about 1140.6082073104.

The spelling of 1483916544 in words is "one billion, four hundred eighty-three million, nine hundred sixteen thousand, five hundred forty-four".