466480 has 80 divisors (see below), whose sum is σ = 1339200. Its totient is φ = 150528.

The previous prime is 466451. The next prime is 466483. The reversal of 466480 is 84664.

466480 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (466483) by changing a digit.

466480 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, 27432 + ... + 27448.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

466480 is a Friedman number, since it can be written as (40*(6^6-8))/4, using all its digits and the basic arithmetic operations.

2⁴⁶⁶⁴⁸⁰ is an apocalyptic number.

466480 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 466480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669600).

466480 is an abundant number, since it is smaller than the sum of its proper divisors (872720).

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

466480 is a wasteful number, since it uses less digits than its factorization.

466480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 466480 is about 682.9934113884. The cubic root of 466480 is about 77.5552155946. Note that the first 3 decimals are identical.

It can be divided in two parts, 466 and 480, that added together give a triangular number (946 = T₄₃).

The spelling of 466480 in words is "four hundred sixty-six thousand, four hundred eighty".