486810 has 40 divisors (see below), whose sum is σ = 1311156. Its totient is φ = 129600.

The previous prime is 486797. The next prime is 486817. The reversal of 486810 is 18684.

It can be written as a sum of positive squares in 2 ways, for example, as 480249 + 6561 = 693^2 + 81^2 .

It is a super-2 number, since 2×486810² = 473967952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent 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 19 ways as a sum of consecutive naturals, for example, 510 + ... + 1110.

2⁴⁸⁶⁸¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655578).

486810 is an abundant number, since it is smaller than the sum of its proper divisors (824346).

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

486810 is a wasteful number, since it uses less digits than its factorization.

486810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 486810 is about 697.7177079593. The cubic root of 486810 is about 78.6658966058.

It can be divided in two parts, 486 and 810, that added together give a 4-th power (1296 = 6⁴).

The spelling of 486810 in words is "four hundred eighty-six thousand, eight hundred ten".