486816 has 48 divisors (see below), whose sum is σ = 1397088. Its totient is φ = 147200.

The previous prime is 486797. The next prime is 486817. The reversal of 486816 is 618684.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (486817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 826 + ... + 1286.

It is an arithmetic number, because the mean of its divisors is an integer number (29106).

2⁴⁸⁶⁸¹⁶ 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 486816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698544).

486816 is an abundant number, since it is smaller than the sum of its proper divisors (910272).

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

486816 is a wasteful number, since it uses less digits than its factorization.

486816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 486816 is about 697.7220076793. The cubic root of 486816 is about 78.6662197938. Note that the first 3 decimals are identical.

It can be divided in two parts, 4868 and 16, that added together give a palindrome (4884).

The spelling of 486816 in words is "four hundred eighty-six thousand, eight hundred sixteen".