428456 has 24 divisors (see below), whose sum is σ = 935370. Its totient is φ = 183456.

The previous prime is 428429. The next prime is 428471. The reversal of 428456 is 654824.

It can be written as a sum of positive squares in only one way, i.e., 240100 + 188356 = 490^2 + 434^2 .

It is a nialpdrome in base 14.

It is an unprimeable number.

428456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155 + ... + 938.

2⁴²⁸⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

428456 is an abundant number, since it is smaller than the sum of its proper divisors (506914).

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

428456 is a wasteful number, since it uses less digits than its factorization.

428456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 428456 is about 654.5655047434. The cubic root of 428456 is about 75.3879747326.

The spelling of 428456 in words is "four hundred twenty-eight thousand, four hundred fifty-six".