5038400 has 84 divisors (see below), whose sum is σ = 12850368. Its totient is φ = 1943040.

The previous prime is 5038381. The next prime is 5038421. The reversal of 5038400 is 48305.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 75167 + ... + 75233.

Almost surely, 2^5038400 is an apocalyptic number.

5038400 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 5038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425184).

5038400 is an abundant number, since it is smaller than the sum of its proper divisors (7811968).

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

5038400 is a wasteful number, since it uses less digits than its factorization.

5038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5038400 is about 2244.6380554557. The cubic root of 5038400 is about 171.4342326173.

The spelling of 5038400 in words is "five million, thirty-eight thousand, four hundred".