49884 has 12 divisors (see below), whose sum is σ = 116424. Its totient is φ = 16624.

The previous prime is 49877. The next prime is 49891. The reversal of 49884 is 48894.

49884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49877) and next prime (49891).

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

49884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2067 + ... + 2090.

It is an arithmetic number, because the mean of its divisors is an integer number (9702).

2⁴⁹⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

49884 is an abundant number, since it is smaller than the sum of its proper divisors (66540).

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 (58212).

49884 is a wasteful number, since it uses less digits than its factorization.

49884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4162 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 49884 is about 223.3472632472. The cubic root of 49884 is about 36.8118030822.

Subtracting from 49884 its reverse (48894), we obtain a triangular number (990 = T₄₄).

The spelling of 49884 in words is "forty-nine thousand, eight hundred eighty-four".