456928 has 24 divisors (see below), whose sum is σ = 914760. Its totient is φ = 224640.

The previous prime is 456923. The next prime is 456949. The reversal of 456928 is 829654.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 456893 and 456902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3423 + ... + 3553.

It is an arithmetic number, because the mean of its divisors is an integer number (38115).

456928 is a Friedman number, since it can be written as 26^(9-5)-48, using all its digits and the basic arithmetic operations.

2⁴⁵⁶⁹²⁸ is an apocalyptic number.

It is an amenable number.

456928 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

456928 is a wasteful number, since it uses less digits than its factorization.

456928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 456928 is about 675.9644961091. The cubic root of 456928 is about 77.0222008284.

The spelling of 456928 in words is "four hundred fifty-six thousand, nine hundred twenty-eight".