54432384 has 64 divisors (see below), whose sum is σ = 145452000. Its totient is φ = 18035712.

The previous prime is 54432361. The next prime is 54432407. The reversal of 54432384 is 48323445.

It is an interprime number because it is at equal distance from previous prime (54432361) and next prime (54432407).

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 87627 + ... + 88245.

Almost surely, 2^54432384 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 54432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72726000).

54432384 is an abundant number, since it is smaller than the sum of its proper divisors (91019616).

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

54432384 is a wasteful number, since it uses less digits than its factorization.

54432384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 853 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 54432384 is about 7377.8305754470. The cubic root of 54432384 is about 378.9824670544.

The spelling of 54432384 in words is "fifty-four million, four hundred thirty-two thousand, three hundred eighty-four".