48090 has 32 divisors (see below), whose sum is σ = 132480. Its totient is φ = 10944.

The previous prime is 48079. The next prime is 48091. The reversal of 48090 is 9084.

48090 = 8² + 9² + ... + 52².

It is a super-3 number, since 3×48090³ = 333645741387000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (48091) by changing a digit.

48090 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96 + ... + 324.

It is an arithmetic number, because the mean of its divisors is an integer number (4140).

2⁴⁸⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66240).

48090 is an abundant number, since it is smaller than the sum of its proper divisors (84390).

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

48090 is a wasteful number, since it uses less digits than its factorization.

48090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 48090 is about 219.2943227719. The cubic root of 48090 is about 36.3651116826.

The spelling of 48090 in words is "forty-eight thousand, ninety".