5446800 has 180 divisors, whose sum is σ = 20238660. Its totient is φ = 1351680.

The previous prime is 5446799. The next prime is 5446811. The reversal of 5446800 is 86445.

It can be written as a sum of positive squares in 6 ways, for example, as 138384 + 5308416 = 372^2 + 2304^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61156 + ... + 61244.

It is an arithmetic number, because the mean of its divisors is an integer number (112437).

Almost surely, 2^5446800 is an apocalyptic number.

5446800 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 5446800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10119330).

5446800 is an abundant number, since it is smaller than the sum of its proper divisors (14791860).

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

5446800 is a wasteful number, since it uses less digits than its factorization.

5446800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5446800 is about 2333.8380406532. The cubic root of 5446800 is about 175.9464368685.

The spelling of 5446800 in words is "five million, four hundred forty-six thousand, eight hundred".