4724384 has 72 divisors (see below), whose sum is σ = 11376288. Its totient is φ = 1921920.

The previous prime is 4724383. The next prime is 4724429. The reversal of 4724384 is 4834274.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4724384.

It is not an unprimeable number, because it can be changed into a prime (4724381) 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 11 ways as a sum of consecutive naturals, for example, 35999 + ... + 36129.

It is an arithmetic number, because the mean of its divisors is an integer number (158004).

Almost surely, 2^4724384 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 4724384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688144).

4724384 is an abundant number, since it is smaller than the sum of its proper divisors (6651904).

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

4724384 is a wasteful number, since it uses less digits than its factorization.

4724384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its digits is 21504, while the sum is 32.

The square root of 4724384 is about 2173.5648138484. The cubic root of 4724384 is about 167.7960488007.

The spelling of 4724384 in words is "four million, seven hundred twenty-four thousand, three hundred eighty-four".