5148800 has 48 divisors (see below), whose sum is σ = 12727050. Its totient is φ = 2058240.

The previous prime is 5148799. The next prime is 5148817. The reversal of 5148800 is 88415.

It can be written as a sum of positive squares in 3 ways, for example, as 4910656 + 238144 = 2216^2 + 488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5148800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2396 + ... + 4004.

Almost surely, 2^5148800 is an apocalyptic number.

5148800 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 5148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363525).

5148800 is an abundant number, since it is smaller than the sum of its proper divisors (7578250).

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

5148800 is a wasteful number, since it uses less digits than its factorization.

5148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 5148800 is about 2269.0967365893. The cubic root of 5148800 is about 172.6773363578.

The spelling of 5148800 in words is "five million, one hundred forty-eight thousand, eight hundred".