488436 has 48 divisors (see below), whose sum is σ = 1279488. Its totient is φ = 144000.

The previous prime is 488419. The next prime is 488441. The reversal of 488436 is 634884.

It is a junction number, because it is equal to n+sod(n) for n = 488397 and 488406.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 488436.

It is an unprimeable number.

488436 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4786 + ... + 4886.

It is an arithmetic number, because the mean of its divisors is an integer number (26656).

2⁴⁸⁸⁴³⁶ 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 488436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639744).

488436 is an abundant number, since it is smaller than the sum of its proper divisors (791052).

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

488436 is a wasteful number, since it uses less digits than its factorization.

488436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 488436 is about 698.8819642830. The cubic root of 488436 is about 78.7533835785.

The spelling of 488436 in words is "four hundred eighty-eight thousand, four hundred thirty-six".