5405824 has 32 divisors (see below), whose sum is σ = 10878300. Its totient is φ = 2675712.

The previous prime is 5405821. The next prime is 5405837. The reversal of 5405824 is 4285045.

It can be written as a sum of positive squares in 2 ways, for example, as 4700224 + 705600 = 2168^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 5405792 and 5405801.

It is not an unprimeable number, because it can be changed into a prime (5405821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19962 + ... + 20230.

Almost surely, 2^5405824 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 5405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439150).

5405824 is an abundant number, since it is smaller than the sum of its proper divisors (5472476).

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

5405824 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (5405823) it forms an eRAP, since the sums of their prime factors are consecutive (439 and 440).

5405824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 5405824 is about 2325.0427953051. The cubic root of 5405824 is about 175.5041137771.

The spelling of 5405824 in words is "five million, four hundred five thousand, eight hundred twenty-four".