486144 has 54 divisors (see below), whose sum is σ = 1408316. Its totient is φ = 161280.

The previous prime is 486139. The next prime is 486163. The reversal of 486144 is 441684.

486144 is a `hidden beast` number, since 48 + 614 + 4 = 666.

486144 is nontrivially palindromic in base 15.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 486144.

It is an unprimeable number.

486144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2199 + ... + 2409.

2⁴⁸⁶¹⁴⁴ 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 486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704158).

486144 is an abundant number, since it is smaller than the sum of its proper divisors (922172).

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

486144 is a wasteful number, since it uses less digits than its factorization.

486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 486144 is about 697.2402742240. The cubic root of 486144 is about 78.6300062192.

It can be divided in two parts, 486 and 144, that added together give a triangular number (630 = T₃₅).

The spelling of 486144 in words is "four hundred eighty-six thousand, one hundred forty-four".