5304484800 has 168 divisors, whose sum is σ = 19336969200. Its totient is φ = 1414517760.

The previous prime is 5304484793. The next prime is 5304484831. The reversal of 5304484800 is 84844035.

5304484800 is a `hidden beast` number, since 530 + 4 + 48 + 4 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18195 + ... + 104594.

Almost surely, 2^5304484800 is an apocalyptic number.

5304484800 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 5304484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9668484600).

5304484800 is an abundant number, since it is smaller than the sum of its proper divisors (14032484400).

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

5304484800 is a wasteful number, since it uses less digits than its factorization.

5304484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122820 (or 122799 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5304484800 is about 72831.8941124011. The cubic root of 5304484800 is about 1744.0050430514.

The spelling of 5304484800 in words is "five billion, three hundred four million, four hundred eighty-four thousand, eight hundred".