49580 has 24 divisors (see below), whose sum is σ = 108528. Its totient is φ = 19008.

The previous prime is 49559. The next prime is 49597. The reversal of 49580 is 8594.

It is a nialpdrome in base 15.

It is an unprimeable number.

49580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 707 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (4522).

2⁴⁹⁵⁸⁰ 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 49580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54264).

49580 is an abundant number, since it is smaller than the sum of its proper divisors (58948).

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

49580 is a wasteful number, since it uses less digits than its factorization.

49580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 49580 is about 222.6656686604. The cubic root of 49580 is about 36.7368719209.

It can be divided in two parts, 495 and 80, that added together give a palindrome (575).

The spelling of 49580 in words is "forty-nine thousand, five hundred eighty".