486432 has 48 divisors (see below), whose sum is σ = 1421280. Its totient is φ = 161856.

The previous prime is 486407. The next prime is 486433. The reversal of 486432 is 234684.

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 (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 486396 and 486405.

It is not an unprimeable number, because it can be changed into a prime (486433) by changing a digit.

486432 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 7 ways as a sum of consecutive naturals, for example, 583 + ... + 1145.

It is an arithmetic number, because the mean of its divisors is an integer number (29610).

2⁴⁸⁶⁴³² 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 486432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710640).

486432 is an abundant number, since it is smaller than the sum of its proper divisors (934848).

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

486432 is a wasteful number, since it uses less digits than its factorization.

486432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 486432 is about 697.4467721626. The cubic root of 486432 is about 78.6455304064.

It can be divided in two parts, 4 and 86432, that added together give a square (86436 = 294²).

The spelling of 486432 in words is "four hundred eighty-six thousand, four hundred thirty-two".