5004244800 has 504 divisors, whose sum is σ = 18836245792. Its totient is φ = 1306368000.

The previous prime is 5004244799. The next prime is 5004244811. The reversal of 5004244800 is 84424005.

5004244800 is a `hidden beast` number, since 500 + 42 + 44 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23716695 + ... + 23716905.

Almost surely, 2^5004244800 is an apocalyptic number.

5004244800 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 5004244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418122896).

5004244800 is an abundant number, since it is smaller than the sum of its proper divisors (13832000992).

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

5004244800 is a wasteful number, since it uses less digits than its factorization.

5004244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 5004244800 is about 70740.6870195646. The cubic root of 5004244800 is about 1710.4597101971.

Adding to 5004244800 its reverse (84424005), we get a palindrome (5088668805).

The spelling of 5004244800 in words is "five billion, four million, two hundred forty-four thousand, eight hundred".