4152384 has 98 divisors (see below), whose sum is σ = 12492990. Its totient is φ = 1368576.

The previous prime is 4152377. The next prime is 4152389. The reversal of 4152384 is 4832514.

4152384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2985984 + 1166400 = 1728^2 + 1080^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4152389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46612 + ... + 46700.

Almost surely, 2^4152384 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 4152384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246495).

4152384 is an abundant number, since it is smaller than the sum of its proper divisors (8340606).

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

4152384 is an frugal number, since it uses more digits than its factorization.

4152384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 4152384 is about 2037.7399245242. The cubic root of 4152384 is about 160.7308234410.

Adding to 4152384 its reverse (4832514), we get a palindrome (8984898).

It can be divided in two parts, 41 and 52384, that added together give a palindrome (52425).

The spelling of 4152384 in words is "four million, one hundred fifty-two thousand, three hundred eighty-four".