467000 has 32 divisors (see below), whose sum is σ = 1095120. Its totient is φ = 186400.

The previous prime is 466997. The next prime is 467003. The reversal of 467000 is 764.

It is an interprime number because it is at equal distance from previous prime (466997) and next prime (467003).

It is a self number, because there is not a number n which added to its sum of digits gives 467000.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 767 + ... + 1233.

2⁴⁶⁷⁰⁰⁰ is an apocalyptic number.

467000 is a gapful number since it is divisible by the number (40) 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 467000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547560).

467000 is an abundant number, since it is smaller than the sum of its proper divisors (628120).

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

467000 is a wasteful number, since it uses less digits than its factorization.

467000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 467000 is about 683.3739825308. The cubic root of 467000 is about 77.5840226432.

Adding to 467000 its reverse (764), we get a palindrome (467764).

The spelling of 467000 in words is "four hundred sixty-seven thousand".