467008 has 14 divisors (see below), whose sum is σ = 926846. Its totient is φ = 233472.

The previous prime is 467003. The next prime is 467009. The reversal of 467008 is 800764.

It can be written as a sum of positive squares in only one way, i.e., 369664 + 97344 = 608^2 + 312^2 .

It is not an unprimeable number, because it can be changed into a prime (467003) by changing a digit.

467008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3585 + ... + 3712.

2⁴⁶⁷⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

467008 is a deficient number, since it is larger than the sum of its proper divisors (459838).

467008 is an equidigital number, since it uses as much as digits as its factorization.

467008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7309 (or 7299 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 467008 is about 683.3798358161. The cubic root of 467008 is about 77.5844656615.

The spelling of 467008 in words is "four hundred sixty-seven thousand, eight".