466880 has 28 divisors (see below), whose sum is σ = 1112520. Its totient is φ = 186624.

The previous prime is 466859. The next prime is 466897. The reversal of 466880 is 88664.

466880 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

466880 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, 410 + ... + 1049.

466880 is a Friedman number, since it can be written as 80*(6^6/8+4), using all its digits and the basic arithmetic operations.

2⁴⁶⁶⁸⁸⁰ is an apocalyptic number.

466880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466880 is an abundant number, since it is smaller than the sum of its proper divisors (645640).

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

466880 is a wasteful number, since it uses less digits than its factorization.

466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 466880 is about 683.2861772347. The cubic root of 466880 is about 77.5773767615.

The spelling of 466880 in words is "four hundred sixty-six thousand, eight hundred eighty".