4929984 has 84 divisors (see below), whose sum is σ = 14700504. Its totient is φ = 1638144.

The previous prime is 4929943. The next prime is 4929989. The reversal of 4929984 is 4899294.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4929989) 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, 15394 + ... + 15710.

It is an arithmetic number, because the mean of its divisors is an integer number (175006).

Almost surely, 2^4929984 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 4929984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350252).

4929984 is an abundant number, since it is smaller than the sum of its proper divisors (9770520).

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

4929984 is an equidigital number, since it uses as much as digits as its factorization.

4929984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 322 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 4929984 is about 2220.3567280957. The cubic root of 4929984 is about 170.1956685876.

The spelling of 4929984 in words is "four million, nine hundred twenty-nine thousand, nine hundred eighty-four".