54480 has 40 divisors (see below), whose sum is σ = 169632. Its totient is φ = 14464.

The previous prime is 54469. The next prime is 54493. The reversal of 54480 is 8445.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

54480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127 + ... + 353.

2⁵⁴⁴⁸⁰ 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 54480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84816).

54480 is an abundant number, since it is smaller than the sum of its proper divisors (115152).

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

54480 is a wasteful number, since it uses less digits than its factorization.

54480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 54480 is about 233.4095113743. The cubic root of 54480 is about 37.9092942770.

The spelling of 54480 in words is "fifty-four thousand, four hundred eighty".