54656448 has 112 divisors (see below), whose sum is σ = 180344064. Its totient is φ = 14192640.

The previous prime is 54656429. The next prime is 54656461. The reversal of 54656448 is 84465645.

54656448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 7393²-1.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 12936 + ... + 16632.

Almost surely, 2^54656448 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 54656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90172032).

54656448 is an abundant number, since it is smaller than the sum of its proper divisors (125687616).

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

54656448 is a wasteful number, since it uses less digits than its factorization.

54656448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3720 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 54656448 is about 7392.9999323685. Note that the first 4 decimals coincide. The cubic root of 54656448 is about 379.5017662365.

The spelling of 54656448 in words is "fifty-four million, six hundred fifty-six thousand, four hundred forty-eight".