4753824 has 48 divisors (see below), whose sum is σ = 13027392. Its totient is φ = 1515008.

The previous prime is 4753823. The next prime is 4753831. The reversal of 4753824 is 4283574.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (4753823) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1132 + ... + 3284.

It is an arithmetic number, because the mean of its divisors is an integer number (271404).

Almost surely, 2^4753824 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 4753824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513696).

4753824 is an abundant number, since it is smaller than the sum of its proper divisors (8273568).

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

4753824 is a wasteful number, since it uses less digits than its factorization.

4753824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2181 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 4753824 is about 2180.3265810424. The cubic root of 4753824 is about 168.1438676927.

The spelling of 4753824 in words is "four million, seven hundred fifty-three thousand, eight hundred twenty-four".