473228 has 12 divisors (see below), whose sum is σ = 946512. Its totient is φ = 202800.

The previous prime is 473227. The next prime is 473257. The reversal of 473228 is 822374.

473228 = 257² + 258² + ... + 263².

473228 is an admirable number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 473197 and 473206.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 473228.

It is not an unprimeable number, because it can be changed into a prime (473227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8423 + ... + 8478.

It is an arithmetic number, because the mean of its divisors is an integer number (78876).

2⁴⁷³²²⁸ is an apocalyptic number.

It is an amenable number.

473228 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

473228 is a wasteful number, since it uses less digits than its factorization.

473228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16912 (or 16910 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 473228 is about 687.9156925089. The cubic root of 473228 is about 77.9273924374.

It can be divided in two parts, 4732 and 28, that multiplied together give a square (132496 = 364²).

The spelling of 473228 in words is "four hundred seventy-three thousand, two hundred twenty-eight".