472428 has 36 divisors (see below), whose sum is σ = 1303848. Its totient is φ = 143040.

The previous prime is 472421. The next prime is 472457. The reversal of 472428 is 824274.

472428 is nontrivially palindromic in base 14.

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

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472428.

It is not an unprimeable number, because it can be changed into a prime (472421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201 + ... + 992.

It is an arithmetic number, because the mean of its divisors is an integer number (36218).

2⁴⁷²⁴²⁸ is an apocalyptic number.

It is an amenable number.

472428 is an abundant number, since it is smaller than the sum of its proper divisors (831420).

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

472428 is a wasteful number, since it uses less digits than its factorization.

472428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1209 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 472428 is about 687.3339799544. Note that the first 3 decimals coincide. The cubic root of 472428 is about 77.8834551408.

It can be divided in two parts, 472 and 428, that added together give a square (900 = 30²).

The spelling of 472428 in words is "four hundred seventy-two thousand, four hundred twenty-eight".