48624 has 20 divisors (see below), whose sum is σ = 125736. Its totient is φ = 16192.

The previous prime is 48623. The next prime is 48647. The reversal of 48624 is 42684.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 48594 and 48603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 459 + ... + 554.

2⁴⁸⁶²⁴ is an apocalyptic number.

It is an amenable number.

48624 is an abundant number, since it is smaller than the sum of its proper divisors (77112).

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 (62868).

48624 is a wasteful number, since it uses less digits than its factorization.

48624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1018 counting only the distinct ones).

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

The square root of 48624 is about 220.5085032374. The cubic root of 48624 is about 36.4992180980.

It can be divided in two parts, 486 and 24, that multiplied together give a square (11664 = 108²).

The spelling of 48624 in words is "forty-eight thousand, six hundred twenty-four".