49980 has 72 divisors (see below), whose sum is σ = 172368. Its totient is φ = 10752.

The previous prime is 49957. The next prime is 49991. The reversal of 49980 is 8994.

49980 = 46² + 47² + ... + 62².

49980 is nontrivially palindromic in base 16.

49980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2932 + ... + 2948.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

2⁴⁹⁹⁸⁰ 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 49980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184).

49980 is an abundant number, since it is smaller than the sum of its proper divisors (122388).

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

49980 is a wasteful number, since it uses less digits than its factorization.

49980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 49980 is about 223.5620719174. The cubic root of 49980 is about 36.8354022893.

The spelling of 49980 in words is "forty-nine thousand, nine hundred eighty".