54048384 has 160 divisors (see below), whose sum is σ = 173651940. Its totient is φ = 16588800.

The previous prime is 54048361. The next prime is 54048391. The reversal of 54048384 is 48384045.

It can be written as a sum of positive squares in 2 ways, for example, as 52881984 + 1166400 = 7272^2 + 1080^2 .

It is a super-2 number, since 2×54048384² = 5842455626022912, which contains 22 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 134584 + ... + 134984.

Almost surely, 2^54048384 is an apocalyptic number.

54048384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86825970).

54048384 is an abundant number, since it is smaller than the sum of its proper divisors (119603556).

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

54048384 is a wasteful number, since it uses less digits than its factorization.

54048384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 54048384 is about 7351.7606054604. The cubic root of 54048384 is about 378.0891701951.

The spelling of 54048384 in words is "fifty-four million, forty-eight thousand, three hundred eighty-four".