5439200 has 72 divisors (see below), whose sum is σ = 14327208. Its totient is φ = 2004480.

The previous prime is 5439197. The next prime is 5439221. The reversal of 5439200 is 29345.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10139 + ... + 10661.

It is an arithmetic number, because the mean of its divisors is an integer number (198989).

Almost surely, 2^5439200 is an apocalyptic number.

5439200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5439200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163604).

5439200 is an abundant number, since it is smaller than the sum of its proper divisors (8888008).

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

5439200 is a wasteful number, since it uses less digits than its factorization.

5439200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 5439200 is about 2332.2092530474. The cubic root of 5439200 is about 175.8645652290.

The spelling of 5439200 in words is "five million, four hundred thirty-nine thousand, two hundred".