466872 has 48 divisors (see below), whose sum is σ = 1361160. Its totient is φ = 133056.

The previous prime is 466859. The next prime is 466897. The reversal of 466872 is 278664.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 978 + ... + 1374.

2⁴⁶⁶⁸⁷² is an apocalyptic number.

466872 is a gapful number since it is divisible by the number (42) 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 466872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680580).

466872 is an abundant number, since it is smaller than the sum of its proper divisors (894288).

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

466872 is a wasteful number, since it uses less digits than its factorization.

466872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 409 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 466872 is about 683.2803231471. The cubic root of 466872 is about 77.5769336622.

The spelling of 466872 in words is "four hundred sixty-six thousand, eight hundred seventy-two".