428424 has 16 divisors (see below), whose sum is σ = 1071120. Its totient is φ = 142800.

The previous prime is 428411. The next prime is 428429. The reversal of 428424 is 424824.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 17851 = 428424 / (4 + 2 + 8 + 4 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 428394 and 428403.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428424.

It is not an unprimeable number, because it can be changed into a prime (428429) by changing a digit.

428424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8902 + ... + 8949.

It is an arithmetic number, because the mean of its divisors is an integer number (66945).

2⁴²⁸⁴²⁴ is an apocalyptic number.

It is an amenable number.

428424 is an abundant number, since it is smaller than the sum of its proper divisors (642696).

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

428424 is a wasteful number, since it uses less digits than its factorization.

428424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17860 (or 17856 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 428424 is about 654.5410605913. The cubic root of 428424 is about 75.3860978574.

Subtracting from 428424 its reverse (424824), we obtain a square (3600 = 60²).

The spelling of 428424 in words is "four hundred twenty-eight thousand, four hundred twenty-four".