5384800 has 72 divisors (see below), whose sum is σ = 13499136. Its totient is φ = 2096640.

The previous prime is 5384779. The next prime is 5384833. The reversal of 5384800 is 84835.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42337 + ... + 42463.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^5384800 is an apocalyptic number.

5384800 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 5384800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568).

5384800 is an abundant number, since it is smaller than the sum of its proper divisors (8114336).

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

5384800 is a wasteful number, since it uses less digits than its factorization.

5384800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 5384800 is about 2320.5171837330. The cubic root of 5384800 is about 175.2762982317.

It can be divided in two parts, 53 and 84800, that multiplied together give a square (4494400 = 2120²).

The spelling of 5384800 in words is "five million, three hundred eighty-four thousand, eight hundred".