48468 has 24 divisors (see below), whose sum is σ = 129472. Its totient is φ = 13824.

The previous prime is 48463. The next prime is 48473. The reversal of 48468 is 86484.

It is an interprime number because it is at equal distance from previous prime (48463) and next prime (48473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48463) by changing a digit.

48468 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 7 ways as a sum of consecutive naturals, for example, 205 + ... + 372.

2⁴⁸⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

48468 is an abundant number, since it is smaller than the sum of its proper divisors (81004).

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 (64736).

48468 is a wasteful number, since it uses less digits than its factorization.

48468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 589 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 48468 is about 220.1544912101. The cubic root of 48468 is about 36.4601428943.

Subtracting from 48468 its product of digits (6144), we obtain a palindrome (42324).

The spelling of 48468 in words is "forty-eight thousand, four hundred sixty-eight".