54280 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 20416.

The previous prime is 54277. The next prime is 54287. The reversal of 54280 is 8245.

54280 = 53² + 54² + ... + 67².

It is a happy number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (54287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 891 + ... + 949.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁵⁴²⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

54280 is an abundant number, since it is smaller than the sum of its proper divisors (75320).

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

54280 is a wasteful number, since it uses less digits than its factorization.

54280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 54280 is about 232.9806858948. The cubic root of 54280 is about 37.8628481459.

The spelling of 54280 in words is "fifty-four thousand, two hundred eighty".