5484952800 has 288 divisors, whose sum is σ = 19953410400. Its totient is φ = 1454100480.

The previous prime is 5484952783. The next prime is 5484952801. The reversal of 5484952800 is 82594845.

5484952800 is a `hidden beast` number, since 5 + 484 + 95 + 2 + 80 + 0 = 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5484952801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4254556 + ... + 4255844.

It is an arithmetic number, because the mean of its divisors is an integer number (69282675).

Almost surely, 2^5484952800 is an apocalyptic number.

5484952800 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 5484952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9976705200).

5484952800 is an abundant number, since it is smaller than the sum of its proper divisors (14468457600).

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

5484952800 is a wasteful number, since it uses less digits than its factorization.

5484952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5484952800 is about 74060.4671872923. The cubic root of 5484952800 is about 1763.5629441541.

The spelling of 5484952800 in words is "five billion, four hundred eighty-four million, nine hundred fifty-two thousand, eight hundred".