54408096 has 144 divisors (see below), whose sum is σ = 166551840. Its totient is φ = 16796160.

The previous prime is 54408091. The next prime is 54408097. The reversal of 54408096 is 69080445.

54408096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

54408096 is a nontrivial binomial coefficient, being equal to C(10432, 2).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54408096.

It is not an unprimeable number, because it can be changed into a prime (54408091) by changing a digit.

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, 333711 + ... + 333873.

It is an arithmetic number, because the mean of its divisors is an integer number (1156610).

Almost surely, 2^54408096 is an apocalyptic number.

54408096 is the 10431-st triangular number and also the 5216-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54408096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83275920).

54408096 is an abundant number, since it is smaller than the sum of its proper divisors (112143744).

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

54408096 is a wasteful number, since it uses less digits than its factorization.

54408096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54408096 is about 7376.1843794743. The cubic root of 54408096 is about 378.9260907156.

The spelling of 54408096 in words is "fifty-four million, four hundred eight thousand, ninety-six".