54429984 has 288 divisors, whose sum is σ = 196560000. Its totient is φ = 14224896.

The previous prime is 54429979. The next prime is 54430027. The reversal of 54429984 is 48992445.

54429984 is a `hidden beast` number, since 544 + 29 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (414720) is a multiple of the sum of its prime divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1876882 + ... + 1876910.

It is an arithmetic number, because the mean of its divisors is an integer number (682500).

Almost surely, 2^54429984 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 54429984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280000).

54429984 is an abundant number, since it is smaller than the sum of its proper divisors (142130016).

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

54429984 is a wasteful number, since it uses less digits than its factorization.

54429984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 54429984 is about 7377.6679242156. The cubic root of 54429984 is about 378.9768970167.

The spelling of 54429984 in words is "fifty-four million, four hundred twenty-nine thousand, nine hundred eighty-four".