4981824 has 105 divisors (see below), whose sum is σ = 15259431. Its totient is φ = 1607040.

The previous prime is 4981811. The next prime is 4981861. The reversal of 4981824 is 4281894.

The square root of 4981824 is 2232.

It is a perfect power (a square), and thus also a powerful number.

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

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

Its product of digits (18432) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 160689 + ... + 160719.

Almost surely, 2^4981824 is an apocalyptic number.

4981824 is the 2232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4981824

4981824 is an abundant number, since it is smaller than the sum of its proper divisors (10277607).

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

4981824 is an equidigital number, since it uses as much as digits as its factorization.

4981824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 36 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The cubic root of 4981824 is about 170.7901395986.

Multiplying 4981824 by its sum of digits (36), we get a square (179345664 = 13392²).

4981824 divided by its sum of digits (36) gives a square (138384 = 372²).

The spelling of 4981824 in words is "four million, nine hundred eighty-one thousand, eight hundred twenty-four".