5246304 has 96 divisors (see below), whose sum is σ = 16240896. Its totient is φ = 1451520.

The previous prime is 5246287. The next prime is 5246309. The reversal of 5246304 is 4036425.

5246304 = 257² + 258² + ... + 319².

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 5⁵ + 2 + 4¹⁰ + 6³ + 3⁴ + 0 + 4¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5246309) 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, 24759 + ... + 24969.

It is an arithmetic number, because the mean of its divisors is an integer number (169176).

Almost surely, 2^5246304 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 5246304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8120448).

5246304 is an abundant number, since it is smaller than the sum of its proper divisors (10994592).

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

5246304 is a wasteful number, since it uses less digits than its factorization.

5246304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5246304 is about 2290.4811721558. The cubic root of 5246304 is about 173.7605372903.

The spelling of 5246304 in words is "five million, two hundred forty-six thousand, three hundred four".