54456584 has 128 divisors (see below), whose sum is σ = 137625600. Its totient is φ = 19595520.

The previous prime is 54456551. The next prime is 54456607. The reversal of 54456584 is 48565445.

54456584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 428729 + ... + 428855.

It is an arithmetic number, because the mean of its divisors is an integer number (1075200).

Almost surely, 2^54456584 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 54456584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68812800).

54456584 is an abundant number, since it is smaller than the sum of its proper divisors (83169016).

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

54456584 is a wasteful number, since it uses less digits than its factorization.

54456584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its digits is 384000, while the sum is 41.

The square root of 54456584 is about 7379.4704417051. The cubic root of 54456584 is about 379.0386224543.

The spelling of 54456584 in words is "fifty-four million, four hundred fifty-six thousand, five hundred eighty-four".