4803984 has 60 divisors (see below), whose sum is σ = 13658476. Its totient is φ = 1575936.

The previous prime is 4803983. The next prime is 4803989. The reversal of 4803984 is 4893084.

It can be written as a sum of positive squares in 2 ways, for example, as 3504384 + 1299600 = 1872^2 + 1140^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4803983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10284 + ... + 10740.

Almost surely, 2^4803984 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 4803984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829238).

4803984 is an abundant number, since it is smaller than the sum of its proper divisors (8854492).

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

4803984 is a wasteful number, since it uses less digits than its factorization.

4803984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4803984 is about 2191.7992608813. The cubic root of 4803984 is about 168.7331900951.

The spelling of 4803984 in words is "four million, eight hundred three thousand, nine hundred eighty-four".