468832 has 72 divisors (see below), whose sum is σ = 1206576. Its totient is φ = 177408.

The previous prime is 468821. The next prime is 468841. The reversal of 468832 is 238864.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 468794 and 468803.

It is a congruent number.

It is an unprimeable number.

468832 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 11 ways as a sum of consecutive naturals, for example, 20373 + ... + 20395.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2⁴⁶⁸⁸³² 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 468832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288).

468832 is an abundant number, since it is smaller than the sum of its proper divisors (737744).

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

468832 is a wasteful number, since it uses less digits than its factorization.

468832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 45 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 468832 is about 684.7130785957. The cubic root of 468832 is about 77.6853420392.

It can be divided in two parts, 468 and 832, that multiplied together give a square (389376 = 624²).

The spelling of 468832 in words is "four hundred sixty-eight thousand, eight hundred thirty-two".