488136 has 48 divisors (see below), whose sum is σ = 1362960. Its totient is φ = 144480.

The previous prime is 488119. The next prime is 488143. The reversal of 488136 is 631884.

It is a happy number.

488136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 488136.

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, 11331 + ... + 11373.

It is an arithmetic number, because the mean of its divisors is an integer number (28395).

2⁴⁸⁸¹³⁶ 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 488136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681480).

488136 is an abundant number, since it is smaller than the sum of its proper divisors (874824).

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

488136 is a wasteful number, since it uses less digits than its factorization.

488136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 488136 is about 698.6673027987. The cubic root of 488136 is about 78.7372566933.

The spelling of 488136 in words is "four hundred eighty-eight thousand, one hundred thirty-six".