48804 has 36 divisors (see below), whose sum is σ = 134064. Its totient is φ = 13776.

The previous prime is 48799. The next prime is 48809. The reversal of 48804 is 40884.

It is an interprime number because it is at equal distance from previous prime (48799) and next prime (48809).

It is not an unprimeable number, because it can be changed into a prime (48809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 547 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (3724).

2⁴⁸⁸⁰⁴ 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 48804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032).

48804 is an abundant number, since it is smaller than the sum of its proper divisors (85260).

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

48804 is a wasteful number, since it uses less digits than its factorization.

48804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48804 is about 220.9162737328. The cubic root of 48804 is about 36.5442011582.

Adding to 48804 its sum of digits (24), we get a triangular number (48828 = T₃₁₂).

It can be divided in two parts, 4880 and 4, that added together give a palindrome (4884).

The spelling of 48804 in words is "forty-eight thousand, eight hundred four".