5438304 has 72 divisors (see below), whose sum is σ = 16157232. Its totient is φ = 1731840.

The previous prime is 5438273. The next prime is 5438309. The reversal of 5438304 is 4038345.

It is a happy number.

5438304 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5438309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6214 + ... + 7034.

It is an arithmetic number, because the mean of its divisors is an integer number (224406).

Almost surely, 2^5438304 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 5438304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078616).

5438304 is an abundant number, since it is smaller than the sum of its proper divisors (10718928).

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

5438304 is a wasteful number, since it uses less digits than its factorization.

5438304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5438304 is about 2332.0171525956. The cubic root of 5438304 is about 175.8549079692.

The spelling of 5438304 in words is "five million, four hundred thirty-eight thousand, three hundred four".