486864 has 120 divisors (see below), whose sum is σ = 1696320. Its totient is φ = 133056.

The previous prime is 486839. The next prime is 486869. The reversal of 486864 is 468684.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486869) 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 23 ways as a sum of consecutive naturals, for example, 21157 + ... + 21179.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

2⁴⁸⁶⁸⁶⁴ 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 486864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848160).

486864 is an abundant number, since it is smaller than the sum of its proper divisors (1209456).

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

486864 is a wasteful number, since it uses less digits than its factorization.

486864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 35 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 486864 is about 697.7564044851. The cubic root of 486864 is about 78.6688052022.

It can be divided in two parts, 486 and 864, that multiplied together give a square (419904 = 648²).

The spelling of 486864 in words is "four hundred eighty-six thousand, eight hundred sixty-four".