4793984 has 64 divisors (see below), whose sum is σ = 10681440. Its totient is φ = 2128896.

The previous prime is 4793981. The next prime is 4794001. The reversal of 4793984 is 4893974.

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

It is a d-powerful number, because it can be written as 4 + 7³ + 9⁴ + 3 + 9⁷ + 8 + 4⁶ .

It is not an unprimeable number, because it can be changed into a prime (4793981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71519 + ... + 71585.

Almost surely, 2^4793984 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 4793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340720).

4793984 is an abundant number, since it is smaller than the sum of its proper divisors (5887456).

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

4793984 is a wasteful number, since it uses less digits than its factorization.

4793984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 4793984 is about 2189.5168416799. The cubic root of 4793984 is about 168.6160301127.

The spelling of 4793984 in words is "four million, seven hundred ninety-three thousand, nine hundred eighty-four".