428451 has 16 divisors (see below), whose sum is σ = 626688. Its totient is φ = 259200.

The previous prime is 428429. The next prime is 428471. The reversal of 428451 is 154824.

It is not a de Polignac number, because 428451 - 2⁹ = 427939 is a prime.

428451 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428451.

It is not an unprimeable number, because it can be changed into a prime (428401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1446 + ... + 1716.

It is an arithmetic number, because the mean of its divisors is an integer number (39168).

2⁴²⁸⁴⁵¹ is an apocalyptic number.

428451 is a deficient number, since it is larger than the sum of its proper divisors (198237).

428451 is a wasteful number, since it uses less digits than its factorization.

428451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322.

The product of its digits is 1280, while the sum is 24.

The square root of 428451 is about 654.5616854048. The cubic root of 428451 is about 75.3876814770.

The spelling of 428451 in words is "four hundred twenty-eight thousand, four hundred fifty-one".