486756 has 24 divisors (see below), whose sum is σ = 1262240. Its totient is φ = 162216.

The previous prime is 486721. The next prime is 486757. The reversal of 486756 is 657684.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 486756.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 486756.

It is not an unprimeable number, because it can be changed into a prime (486757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2146 + ... + 2361.

2⁴⁸⁶⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

486756 is an abundant number, since it is smaller than the sum of its proper divisors (775484).

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

486756 is a wasteful number, since it uses less digits than its factorization.

486756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4512 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 486756 is about 697.6790092872. The cubic root of 486756 is about 78.6629877944.

Adding to 486756 its product of digits (40320), we get a square (527076 = 726²).

The spelling of 486756 in words is "four hundred eighty-six thousand, seven hundred fifty-six".