48840 has 64 divisors (see below), whose sum is σ = 164160. Its totient is φ = 11520.

The previous prime is 48823. The next prime is 48847. The reversal of 48840 is 4884.

48840 = T₇₀ + T₇₁ + ... + T₈₅.

It is a Cunningham number, because it is equal to 221²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 48840.

It is not an unprimeable number, because it can be changed into a prime (48847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302 + ... + 1338.

It is an arithmetic number, because the mean of its divisors is an integer number (2565).

2⁴⁸⁸⁴⁰ is an apocalyptic number.

48840 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 48840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080).

48840 is an abundant number, since it is smaller than the sum of its proper divisors (115320).

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

48840 is a wasteful number, since it uses less digits than its factorization.

48840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48840 is about 220.9977375450. The cubic root of 48840 is about 36.5531844921.

Subtracting from 48840 its reverse (4884), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 488 and 40, that added together give a triangular number (528 = T₃₂).

The spelling of 48840 in words is "forty-eight thousand, eight hundred forty".