54900 has 54 divisors (see below), whose sum is σ = 174902. Its totient is φ = 14400.

The previous prime is 54881. The next prime is 54907. The reversal of 54900 is 945.

54900 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 54756 = 12^2 + 234^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54900.

It is not an unprimeable number, because it can be changed into a prime (54907) 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, 870 + ... + 930.

2⁵⁴⁹⁰⁰ is an apocalyptic number.

54900 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 54900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87451).

54900 is an abundant number, since it is smaller than the sum of its proper divisors (120002).

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

54900 is a wasteful number, since it uses less digits than its factorization.

54900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 54900 is about 234.3074902772. The cubic root of 54900 is about 38.0064624282.

The spelling of 54900 in words is "fifty-four thousand, nine hundred".