48444 has 24 divisors (see below), whose sum is σ = 123648. Its totient is φ = 14640.

The previous prime is 48437. The next prime is 48449. The reversal of 48444 is 44484.

It is a super-2 number, since 2×48444² = 4693642272, which contains 22 as substring.

48444 is a modest number, since divided by 444 gives 48 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (5152).

2⁴⁸⁴⁴⁴ is an apocalyptic number.

48444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48444 is an abundant number, since it is smaller than the sum of its proper divisors (75204).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61824).

48444 is a wasteful number, since it uses less digits than its factorization.

48444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 48444 is about 220.0999772831. The cubic root of 48444 is about 36.4541238859.

It can be divided in two parts, 484 and 44, that added together give a triangular number (528 = T₃₂).

The spelling of 48444 in words is "forty-eight thousand, four hundred forty-four".