428475 has 24 divisors (see below), whose sum is σ = 736560. Its totient is φ = 219520.

The previous prime is 428473. The next prime is 428489. The reversal of 428475 is 574824.

It is not a de Polignac number, because 428475 - 2¹ = 428473 is a prime.

428475 is a lucky number.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428475.

It is not an unprimeable number, because it can be changed into a prime (428471) 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 23 ways as a sum of consecutive naturals, for example, 2077 + ... + 2273.

It is an arithmetic number, because the mean of its divisors is an integer number (30690).

2⁴²⁸⁴⁷⁵ is an apocalyptic number.

428475 is a deficient number, since it is larger than the sum of its proper divisors (308085).

428475 is a wasteful number, since it uses less digits than its factorization.

428475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 234 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 428475 is about 654.5800180268. The cubic root of 428475 is about 75.3890890830.

It can be divided in two parts, 428 and 475, that added together give a triangular number (903 = T₄₂).

The spelling of 428475 in words is "four hundred twenty-eight thousand, four hundred seventy-five".