4657984 has 28 divisors (see below), whose sum is σ = 9379204. Its totient is φ = 2294784.

The previous prime is 4657981. The next prime is 4657987. The reversal of 4657984 is 4897564.

It is an interprime number because it is at equal distance from previous prime (4657981) and next prime (4657987).

It can be written as a sum of positive squares in 2 ways, for example, as 3385600 + 1272384 = 1840^2 + 1128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4657984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4657981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4174 + ... + 5170.

Almost surely, 2^4657984 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 4657984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689602).

4657984 is an abundant number, since it is smaller than the sum of its proper divisors (4721220).

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

4657984 is an equidigital number, since it uses as much as digits as its factorization.

4657984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1072 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 4657984 is about 2158.2363169959. The cubic root of 4657984 is about 167.0062268346.

The spelling of 4657984 in words is "four million, six hundred fifty-seven thousand, nine hundred eighty-four".