5449420800 has 546 divisors, whose sum is σ = 20537638322. Its totient is φ = 1433272320.

The previous prime is 5449420789. The next prime is 5449420807. The reversal of 5449420800 is 80249445.

5449420800 is a `hidden beast` number, since 5 + 449 + 4 + 208 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 429981696 + 5019439104 = 20736^2 + 70848^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5449420807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 74649564 + ... + 74649636.

Almost surely, 2^5449420800 is an apocalyptic number.

5449420800 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 5449420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10268819161).

5449420800 is an abundant number, since it is smaller than the sum of its proper divisors (15088217522).

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

5449420800 is an frugal number, since it uses more digits than its factorization.

5449420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5449420800 is about 73820.1923595435. The cubic root of 5449420800 is about 1759.7465199687.

The spelling of 5449420800 in words is "five billion, four hundred forty-nine million, four hundred twenty thousand, eight hundred".