5204800 has 42 divisors (see below), whose sum is σ = 12810998. Its totient is φ = 2081280.

The previous prime is 5204791. The next prime is 5204813. The reversal of 5204800 is 84025.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1700416 + 3504384 = 1304^2 + 1872^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27 + ... + 3226.

Almost surely, 2^5204800 is an apocalyptic number.

5204800 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 5204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6405499).

5204800 is an abundant number, since it is smaller than the sum of its proper divisors (7606198).

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

5204800 is a wasteful number, since it uses less digits than its factorization.

5204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 5204800 is about 2281.4030770559. The cubic root of 5204800 is about 173.3011116963.

Adding to 5204800 its reverse (84025), we get a palindrome (5288825).

The spelling of 5204800 in words is "five million, two hundred four thousand, eight hundred".