5088400 has 30 divisors (see below), whose sum is σ = 12225842. Its totient is φ = 2035200.

The previous prime is 5088383. The next prime is 5088401. The reversal of 5088400 is 48805.

It can be written as a sum of positive squares in 3 ways, for example, as 1024144 + 4064256 = 1012^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (5088401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5961 + ... + 6760.

Almost surely, 2^5088400 is an apocalyptic number.

5088400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5088400 is an abundant number, since it is smaller than the sum of its proper divisors (7137442).

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

5088400 is a wasteful number, since it uses less digits than its factorization.

5088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12739 (or 12728 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 5088400 is about 2255.7482128997. The cubic root of 5088400 is about 171.9994591654. Note that the first 3 decimals are identical.

The spelling of 5088400 in words is "five million, eighty-eight thousand, four hundred".