48420 has 36 divisors (see below), whose sum is σ = 147420. Its totient is φ = 12864.

The previous prime is 48413. The next prime is 48437. The reversal of 48420 is 2484.

48420 = T₁₀₆ + T₁₀₇ + ... + T₁₁₃.

It is a happy number.

48420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 39204 = 96^2 + 198^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 48393 and 48402.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48420.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2⁴⁸⁴²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73710).

48420 is an abundant number, since it is smaller than the sum of its proper divisors (99000).

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

48420 is a wasteful number, since it uses less digits than its factorization.

48420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 48420 is about 220.0454498507. The cubic root of 48420 is about 36.4481028892.

The spelling of 48420 in words is "forty-eight thousand, four hundred twenty".