48204 has 36 divisors (see below), whose sum is σ = 132496. Its totient is φ = 14688.

The previous prime is 48197. The next prime is 48221. The reversal of 48204 is 40284.

It is a happy number.

48204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (18) 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 (18).

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417 + ... + 519.

2⁴⁸²⁰⁴ 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 48204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66248).

48204 is an abundant number, since it is smaller than the sum of its proper divisors (84292).

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

48204 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (48203) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (121).

48204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 48204 is about 219.5540935624. The cubic root of 48204 is about 36.3938241746.

Adding to 48204 its reverse (40284), we get a palindrome (88488).

It can be divided in two parts, 48 and 204, that added together give a palindrome (252).

The spelling of 48204 in words is "forty-eight thousand, two hundred four".