48540 has 24 divisors (see below), whose sum is σ = 136080. Its totient is φ = 12928.

The previous prime is 48539. The next prime is 48541. The reversal of 48540 is 4584.

It is an interprime number because it is at equal distance from previous prime (48539) and next prime (48541).

It is a super-2 number, since 2×48540² = 4712263200, which contains 22 as substring.

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 48540.

It is not an unprimeable number, because it can be changed into a prime (48541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁴⁸⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

48540 is an abundant number, since it is smaller than the sum of its proper divisors (87540).

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 (68040).

48540 is a wasteful number, since it uses less digits than its factorization.

48540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 48540 is about 220.3179520602. The cubic root of 48540 is about 36.4781880063.

Subtracting from 48540 its reverse (4584), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 485 and 40, that added together give a palindrome (525).

The spelling of 48540 in words is "forty-eight thousand, five hundred forty".