49344 has 28 divisors (see below), whose sum is σ = 131064. Its totient is φ = 16384.

The previous prime is 49339. The next prime is 49363. The reversal of 49344 is 44394.

49344 = 70² + 71² + ... + 78².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

49344 is an undulating number in base 16.

It is a zygodrome in base 2.

It is an unprimeable number.

49344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 49344 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64 + ... + 320.

2⁴⁹³⁴⁴ 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 49344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65532).

49344 is an abundant number, since it is smaller than the sum of its proper divisors (81720).

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

49344 is a wasteful number, since it uses less digits than its factorization.

49344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 49344 is about 222.1350940306. The cubic root of 49344 is about 36.6784902182.

Subtracting from 49344 its reverse (44394), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 49 and 344, that added together give a palindrome (393).

The spelling of 49344 in words is "forty-nine thousand, three hundred forty-four".