54644800 has 252 divisors, whose sum is σ = 169653204. Its totient is φ = 17203200.

The previous prime is 54644773. The next prime is 54644801. The reversal of 54644800 is 844645.

It can be written as a sum of positive squares in 6 ways, for example, as 4064256 + 50580544 = 2016^2 + 7112^2 .

It is not an unprimeable number, because it can be changed into a prime (54644801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1332780 + ... + 1332820.

It is an arithmetic number, because the mean of its divisors is an integer number (673227).

Almost surely, 2^54644800 is an apocalyptic number.

54644800 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 54644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84826602).

54644800 is an abundant number, since it is smaller than the sum of its proper divisors (115008404).

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

54644800 is a wasteful number, since it uses less digits than its factorization.

54644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 54644800 is about 7392.2121181687. The cubic root of 54644800 is about 379.4748054002.

The spelling of 54644800 in words is "fifty-four million, six hundred forty-four thousand, eight hundred".