48510 has 72 divisors (see below), whose sum is σ = 160056. Its totient is φ = 10080.

The previous prime is 48497. The next prime is 48523. The reversal of 48510 is 1584.

48510 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (48497) and next prime (48523).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

48510 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 35 ways as a sum of consecutive naturals, for example, 4405 + ... + 4415.

It is an arithmetic number, because the mean of its divisors is an integer number (2223).

2⁴⁸⁵¹⁰ is an apocalyptic number.

48510 is the 180-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80028).

48510 is an abundant number, since it is smaller than the sum of its proper divisors (111546).

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

48510 is a wasteful number, since it uses less digits than its factorization.

48510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 48510 is about 220.2498581157. The cubic root of 48510 is about 36.4706713797.

The spelling of 48510 in words is "forty-eight thousand, five hundred ten".