485832 has 32 divisors (see below), whose sum is σ = 1255680. Its totient is φ = 156480.

The previous prime is 485831. The next prime is 485833. The reversal of 485832 is 238584.

It is an interprime number because it is at equal distance from previous prime (485831) and next prime (485833).

It is a self number, because there is not a number n which added to its sum of digits gives 485832.

It is not an unprimeable number, because it can be changed into a prime (485831) 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, 418 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (39240).

2⁴⁸⁵⁸³² 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 485832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627840).

485832 is an abundant number, since it is smaller than the sum of its proper divisors (769848).

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

485832 is a wasteful number, since it uses less digits than its factorization.

485832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 485832 is about 697.0164990874. The cubic root of 485832 is about 78.6131814292.

It can be divided in two parts, 48 and 5832, that multiplied together give a 7-th power (279936 = 6⁷).

The spelling of 485832 in words is "four hundred eighty-five thousand, eight hundred thirty-two".