54426880 has 72 divisors (see below), whose sum is σ = 131972904. Its totient is φ = 21504000.

The previous prime is 54426871. The next prime is 54426907. The reversal of 54426880 is 8862445.

54426880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3504384 + 50922496 = 1872^2 + 7136^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 129070 + ... + 129490.

It is an arithmetic number, because the mean of its divisors is an integer number (1832957).

Almost surely, 2^54426880 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 54426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65986452).

54426880 is an abundant number, since it is smaller than the sum of its proper divisors (77546024).

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

54426880 is a wasteful number, since it uses less digits than its factorization.

54426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 54426880 is about 7377.4575566383. The cubic root of 54426880 is about 378.9696928585.

The spelling of 54426880 in words is "fifty-four million, four hundred twenty-six thousand, eight hundred eighty".