4248384 has 112 divisors (see below), whose sum is σ = 13411200. Its totient is φ = 1161216.

The previous prime is 4248371. The next prime is 4248389. The reversal of 4248384 is 4838424.

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

It is a super-2 number, since 2×4248384² = 36097533222912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4248389) 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 15 ways as a sum of consecutive naturals, for example, 38922 + ... + 39030.

Almost surely, 2^4248384 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 4248384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705600).

4248384 is an abundant number, since it is smaller than the sum of its proper divisors (9162816).

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

4248384 is a wasteful number, since it uses less digits than its factorization.

4248384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 4248384 is about 2061.1608379746. The cubic root of 4248384 is about 161.9600572154.

The spelling of 4248384 in words is "four million, two hundred forty-eight thousand, three hundred eighty-four".