4984000 has 112 divisors (see below), whose sum is σ = 14264640. Its totient is φ = 1689600.

The previous prime is 4983983. The next prime is 4984013. The reversal of 4984000 is 4894.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55956 + ... + 56044.

Almost surely, 2^4984000 is an apocalyptic number.

4984000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132320).

4984000 is an abundant number, since it is smaller than the sum of its proper divisors (9280640).

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

4984000 is an equidigital number, since it uses as much as digits as its factorization.

4984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4984000 is about 2232.4874019801. The cubic root of 4984000 is about 170.8150023295.

Adding to 4984000 its reverse (4894), we get a palindrome (4988894).

The spelling of 4984000 in words is "four million, nine hundred eighty-four thousand".