48264 has 16 divisors (see below), whose sum is σ = 120720. Its totient is φ = 16080.

The previous prime is 48259. The next prime is 48271. The reversal of 48264 is 46284.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2011 = 48264 / (4 + 8 + 2 + 6 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 4³ + 8 + 2⁹ + 6⁶ + 4⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 982 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (7545).

2⁴⁸²⁶⁴ is an apocalyptic number.

It is an amenable number.

48264 is an abundant number, since it is smaller than the sum of its proper divisors (72456).

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 (60360).

48264 is a wasteful number, since it uses less digits than its factorization.

48264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2016 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 48264 is about 219.6906916553. The cubic root of 48264 is about 36.4089178327.

The spelling of 48264 in words is "forty-eight thousand, two hundred sixty-four".