48440 has 32 divisors (see below), whose sum is σ = 125280. Its totient is φ = 16512.

The previous prime is 48437. The next prime is 48449. The reversal of 48440 is 4484.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48449) 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, 194 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (3915).

2⁴⁸⁴⁴⁰ is an apocalyptic number.

48440 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 48440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62640).

48440 is an abundant number, since it is smaller than the sum of its proper divisors (76840).

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

48440 is a wasteful number, since it uses less digits than its factorization.

48440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 48440 is about 220.0908903158. The cubic root of 48440 is about 36.4531205245.

Subtracting from 48440 its reverse (4484), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 48440 in words is "forty-eight thousand, four hundred forty".