54048420 has 72 divisors (see below), whose sum is σ = 167783616. Its totient is φ = 14075712.

The previous prime is 54048391. The next prime is 54048437. The reversal of 54048420 is 2484045.

54048420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4249 + ... + 11231.

It is an arithmetic number, because the mean of its divisors is an integer number (2330328).

Almost surely, 2^54048420 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 54048420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83891808).

54048420 is an abundant number, since it is smaller than the sum of its proper divisors (113735196).

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

54048420 is a wasteful number, since it uses less digits than its factorization.

54048420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 54048420 is about 7351.7630538531. The cubic root of 54048420 is about 378.0892541397.

It can be divided in two parts, 5404 and 8420, that added together give a cube (13824 = 24³).

The spelling of 54048420 in words is "fifty-four million, forty-eight thousand, four hundred twenty".