428457 has 8 divisors (see below), whose sum is σ = 574560. Its totient is φ = 284000.

The previous prime is 428429. The next prime is 428471. The reversal of 428457 is 754824.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 428457 - 2¹⁰ = 427433 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428457.

It is not an unprimeable number, because it can be changed into a prime (428557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2⁴²⁸⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

428457 is a deficient number, since it is larger than the sum of its proper divisors (146103).

428457 is a wasteful number, since it uses less digits than its factorization.

428457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823.

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

The square root of 428457 is about 654.5662686085. The cubic root of 428457 is about 75.3880333834.

The spelling of 428457 in words is "four hundred twenty-eight thousand, four hundred fifty-seven".