491328 has 42 divisors (see below), whose sum is σ = 1409954. Its totient is φ = 163584.

The previous prime is 491327. The next prime is 491329. The reversal of 491328 is 823194.

It is an interprime number because it is at equal distance from previous prime (491327) and next prime (491329).

It can be written as a sum of positive squares in only one way, i.e., 304704 + 186624 = 552^2 + 432^2 .

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

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 491328.

It is not an unprimeable number, because it can be changed into a prime (491327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150 + ... + 1002.

2⁴⁹¹³²⁸ is an apocalyptic number.

491328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704977).

491328 is an abundant number, since it is smaller than the sum of its proper divisors (918626).

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

491328 is a wasteful number, since it uses less digits than its factorization.

491328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 858 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 491328 is about 700.9479295925. The cubic root of 491328 is about 78.9085091566.

The spelling of 491328 in words is "four hundred ninety-one thousand, three hundred twenty-eight".