5448800 has 108 divisors (see below), whose sum is σ = 15584940. Its totient is φ = 1854720.

The previous prime is 5448797. The next prime is 5448809. The reversal of 5448800 is 88445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5448809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39131 + ... + 39269.

It is an arithmetic number, because the mean of its divisors is an integer number (144305).

Almost surely, 2^5448800 is an apocalyptic number.

5448800 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 5448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7792470).

5448800 is an abundant number, since it is smaller than the sum of its proper divisors (10136140).

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

5448800 is a wasteful number, since it uses less digits than its factorization.

5448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 5448800 is about 2334.2664800746. The cubic root of 5448800 is about 175.9679693776.

The spelling of 5448800 in words is "five million, four hundred forty-eight thousand, eight hundred".