466272 has 36 divisors (see below), whose sum is σ = 1326780. Its totient is φ = 155328.

The previous prime is 466267. The next prime is 466273. The reversal of 466272 is 272664.

466272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 466272.

It is not an unprimeable number, because it can be changed into a prime (466273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 522 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2⁴⁶⁶²⁷² is an apocalyptic number.

It is an amenable number.

466272 is an abundant number, since it is smaller than the sum of its proper divisors (860508).

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

466272 is a wasteful number, since it uses less digits than its factorization.

466272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1624 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 466272 is about 682.8411235419. The cubic root of 466272 is about 77.5436867808.

The spelling of 466272 in words is "four hundred sixty-six thousand, two hundred seventy-two".