467328 has 32 divisors (see below), whose sum is σ = 1242360. Its totient is φ = 155648.

The previous prime is 467317. The next prime is 467329. The reversal of 467328 is 823764.

467328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 467295 and 467304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467329) by changing a digit.

467328 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 3 ways as a sum of consecutive naturals, for example, 225 + ... + 992.

2⁴⁶⁷³²⁸ is an apocalyptic number.

467328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

467328 is an abundant number, since it is smaller than the sum of its proper divisors (775032).

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

467328 is a wasteful number, since it uses less digits than its factorization.

467328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1222 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 467328 is about 683.6139261308. The cubic root of 467328 is about 77.6021822464.

The spelling of 467328 in words is "four hundred sixty-seven thousand, three hundred twenty-eight".