5008400 has 60 divisors (see below), whose sum is σ = 12685200. Its totient is φ = 1895040.

The previous prime is 5008379. The next prime is 5008417. The reversal of 5008400 is 48005.

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, 7271 + ... + 7929.

It is an arithmetic number, because the mean of its divisors is an integer number (211420).

Almost surely, 2^5008400 is an apocalyptic number.

5008400 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 5008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342600).

5008400 is an abundant number, since it is smaller than the sum of its proper divisors (7676800).

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

5008400 is a wasteful number, since it uses less digits than its factorization.

5008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 5008400 is about 2237.9454863781. The cubic root of 5008400 is about 171.0932997458.

The spelling of 5008400 in words is "five million, eight thousand, four hundred".