48080 has 20 divisors (see below), whose sum is σ = 111972. Its totient is φ = 19200.

The previous prime is 48079. The next prime is 48091. The reversal of 48080 is 8084.

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 18496 = 172^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×48080³ = 333437646336000, which contains 333 as substring.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 221 + ... + 380.

2⁴⁸⁰⁸⁰ is an apocalyptic number.

48080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48080 is an abundant number, since it is smaller than the sum of its proper divisors (63892).

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 (55986).

48080 is a wasteful number, since it uses less digits than its factorization.

48080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 48080 is about 219.2715211787. The cubic root of 48080 is about 36.3625908790.

The spelling of 48080 in words is "forty-eight thousand, eighty".