5304084480 has 288 divisors, whose sum is σ = 18679096800. Its totient is φ = 1391689728.

The previous prime is 5304084419. The next prime is 5304084491. The reversal of 5304084480 is 844804035.

5304084480 is a `hidden beast` number, since 530 + 4 + 0 + 8 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 6174291 + ... + 6175149.

It is an arithmetic number, because the mean of its divisors is an integer number (64857975).

Almost surely, 2^5304084480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5304084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9339548400).

5304084480 is an abundant number, since it is smaller than the sum of its proper divisors (13375012320).

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

5304084480 is a wasteful number, since it uses less digits than its factorization.

5304084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 936 counting only the distinct ones).

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

The square root of 5304084480 is about 72829.1458140215. The cubic root of 5304084480 is about 1743.9611696318.

The spelling of 5304084480 in words is "five billion, three hundred four million, eighty-four thousand, four hundred eighty".