43488 has 36 divisors (see below), whose sum is σ = 124488. Its totient is φ = 14400.

The previous prime is 43487. The next prime is 43499. The reversal of 43488 is 88434.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×43488² = 3782412288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 213 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (3458).

2⁴³⁴⁸⁸ is an apocalyptic number.

43488 is a gapful number since it is divisible by the number (48) 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 43488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62244).

43488 is an abundant number, since it is smaller than the sum of its proper divisors (81000).

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

43488 is a wasteful number, since it uses less digits than its factorization.

43488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 43488 is about 208.5377663638. The cubic root of 43488 is about 35.1660140287.

It can be divided in two parts, 4348 and 8, that added together give a square (4356 = 66²).

The spelling of 43488 in words is "forty-three thousand, four hundred eighty-eight".