465228 has 18 divisors (see below), whose sum is σ = 1176084. Its totient is φ = 155064.

The previous prime is 465211. The next prime is 465259. The reversal of 465228 is 822564.

465228 is a `hidden beast` number, since 4 + 652 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6426 + ... + 6497.

It is an arithmetic number, because the mean of its divisors is an integer number (65338).

2⁴⁶⁵²²⁸ is an apocalyptic number.

It is an amenable number.

465228 is an abundant number, since it is smaller than the sum of its proper divisors (710856).

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

465228 is a wasteful number, since it uses less digits than its factorization.

465228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12933 (or 12928 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 465228 is about 682.0762420727. The cubic root of 465228 is about 77.4857691526.

The spelling of 465228 in words is "four hundred sixty-five thousand, two hundred twenty-eight".