49880 has 32 divisors (see below), whose sum is σ = 118800. Its totient is φ = 18816.

The previous prime is 49877. The next prime is 49891. The reversal of 49880 is 8894.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable 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, 1139 + ... + 1181.

2⁴⁹⁸⁸⁰ is an apocalyptic number.

49880 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 49880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59400).

49880 is an abundant number, since it is smaller than the sum of its proper divisors (68920).

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

49880 is a wasteful number, since it uses less digits than its factorization.

49880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 49880 is about 223.3383084023. The cubic root of 49880 is about 36.8108191251.

It can be divided in two parts, 49 and 880, that added together give a palindrome (929).

The spelling of 49880 in words is "forty-nine thousand, eight hundred eighty".