466500 has 48 divisors (see below), whose sum is σ = 1362816. Its totient is φ = 124000.

The previous prime is 466483. The next prime is 466517. The reversal of 466500 is 5664.

466500 = T₁₆ + T₁₇ + ... + T₁₄₀.

It is an interprime number because it is at equal distance from previous prime (466483) and next prime (466517).

It is a plaindrome in base 13.

It is an unprimeable number.

466500 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 15 ways as a sum of consecutive naturals, for example, 1345 + ... + 1655.

It is an arithmetic number, because the mean of its divisors is an integer number (28392).

466500 is a Friedman number, since it can be written as 60*(6^5-4^0), using all its digits and the basic arithmetic operations.

2⁴⁶⁶⁵⁰⁰ 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 466500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681408).

466500 is an abundant number, since it is smaller than the sum of its proper divisors (896316).

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

466500 is a wasteful number, since it uses less digits than its factorization.

466500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 466500 is about 683.0080526612. The cubic root of 466500 is about 77.5563239537.

The spelling of 466500 in words is "four hundred sixty-six thousand, five hundred".