5004800 has 120 divisors (see below), whose sum is σ = 13700016. Its totient is φ = 1802240.

The previous prime is 5004799. The next prime is 5004803. The reversal of 5004800 is 84005.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217589 + ... + 217611.

Almost surely, 2^5004800 is an apocalyptic number.

5004800 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 5004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850008).

5004800 is an abundant number, since it is smaller than the sum of its proper divisors (8695216).

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

5004800 is a wasteful number, since it uses less digits than its factorization.

5004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

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

The square root of 5004800 is about 2237.1410326575. The cubic root of 5004800 is about 171.0522963971.

Adding to 5004800 its reverse (84005), we get a palindrome (5088805).

The spelling of 5004800 in words is "five million, four thousand, eight hundred".