5038800 has 240 divisors, whose sum is σ = 19373760. Its totient is φ = 1105920.

The previous prime is 5038793. The next prime is 5038801. The reversal of 5038800 is 88305.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5038801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265191 + ... + 265209.

It is an arithmetic number, because the mean of its divisors is an integer number (80724).

Almost surely, 2^5038800 is an apocalyptic number.

5038800 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 5038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686880).

5038800 is an abundant number, since it is smaller than the sum of its proper divisors (14334960).

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

5038800 is a wasteful number, since it uses less digits than its factorization.

5038800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5038800 is about 2244.7271549122. The cubic root of 5038800 is about 171.4387692346.

The spelling of 5038800 in words is "five million, thirty-eight thousand, eight hundred".