49760 has 24 divisors (see below), whose sum is σ = 117936. Its totient is φ = 19840.

The previous prime is 49757. The next prime is 49783. The reversal of 49760 is 6794.

49760 = T₃₉ + T₄₀ + ... + T₇₀.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2⁴⁹⁷⁶⁰ is an apocalyptic number.

49760 is a gapful number since it is divisible by the number (40) 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 49760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968).

49760 is an abundant number, since it is smaller than the sum of its proper divisors (68176).

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

49760 is a wasteful number, since it uses less digits than its factorization.

49760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 49760 is about 223.0694958976. The cubic root of 49760 is about 36.7812759189.

The spelling of 49760 in words is "forty-nine thousand, seven hundred sixty".