49360 has 20 divisors (see below), whose sum is σ = 114948. Its totient is φ = 19712.

The previous prime is 49339. The next prime is 49363. The reversal of 49360 is 6394.

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 41616 = 88^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49363) by changing a digit.

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, 229 + ... + 388.

2⁴⁹³⁶⁰ is an apocalyptic number.

49360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49360 is an abundant number, since it is smaller than the sum of its proper divisors (65588).

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 (57474).

49360 is a wasteful number, since it uses less digits than its factorization.

49360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 49360 is about 222.1711052320. The cubic root of 49360 is about 36.6824541748.

The spelling of 49360 in words is "forty-nine thousand, three hundred sixty".