54380800 has 108 divisors (see below), whose sum is σ = 139717620. Its totient is φ = 20930560.

The previous prime is 54380791. The next prime is 54380827. The reversal of 54380800 is 808345.

It can be written as a sum of positive squares in 6 ways, for example, as 1149184 + 53231616 = 1072^2 + 7296^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 185454 + ... + 185746.

Almost surely, 2^54380800 is an apocalyptic number.

54380800 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 54380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69858810).

54380800 is an abundant number, since it is smaller than the sum of its proper divisors (85336820).

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

54380800 is a wasteful number, since it uses less digits than its factorization.

54380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 54380800 is about 7374.3338682216. Note that the first 3 decimals coincide. The cubic root of 54380800 is about 378.8627123001.

The spelling of 54380800 in words is "fifty-four million, three hundred eighty thousand, eight hundred".