48600 has 72 divisors (see below), whose sum is σ = 169260. Its totient is φ = 12960.

The previous prime is 48593. The next prime is 48611. The reversal of 48600 is 684.

Added to its reverse (684) it gives a square (49284 = 222²).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 15.

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 48600.

It is an unprimeable number.

48600 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 17 ways as a sum of consecutive naturals, for example, 9718 + ... + 9722.

2⁴⁸⁶⁰⁰ is an apocalyptic number.

48600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84630).

48600 is an abundant number, since it is smaller than the sum of its proper divisors (120660).

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

48600 is a wasteful number, since it uses less digits than its factorization.

48600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 48600 is about 220.4540768505. The cubic root of 48600 is about 36.4932119734.

Adding to 48600 its reverse (684), we get a square (49284 = 222²).

The spelling of 48600 in words is "forty-eight thousand, six hundred".