5480344800 has 864 divisors, whose sum is σ = 23885971200. Its totient is φ = 1154580480.

The previous prime is 5480344777. The next prime is 5480344811. The reversal of 5480344800 is 84430845.

5480344800 is a `hidden beast` number, since 548 + 0 + 34 + 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 143 ways as a sum of consecutive naturals, for example, 56498352 + ... + 56498448.

It is an arithmetic number, because the mean of its divisors is an integer number (27645800).

Almost surely, 2^5480344800 is an apocalyptic number.

5480344800 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 5480344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942985600).

5480344800 is an abundant number, since it is smaller than the sum of its proper divisors (18405626400).

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

5480344800 is a wasteful number, since it uses less digits than its factorization.

5480344800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

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

The square root of 5480344800 is about 74029.3509359632. The cubic root of 5480344800 is about 1763.0689396086.

The spelling of 5480344800 in words is "five billion, four hundred eighty million, three hundred forty-four thousand, eight hundred".