456500828 has 24 divisors (see below), whose sum is σ = 925512672. Its totient is φ = 192962304.

The previous prime is 456500827. The next prime is 456500831. The reversal of 456500828 is 828005654.

It is a junction number, because it is equal to n+sod(n) for n = 456500791 and 456500800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456500827) 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, 109625 + ... + 113712.

It is an arithmetic number, because the mean of its divisors is an integer number (38563028).

Almost surely, 2^456500828 is an apocalyptic number.

It is an amenable number.

456500828 is an abundant number, since it is smaller than the sum of its proper divisors (469011844).

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

456500828 is a wasteful number, since it uses less digits than its factorization.

456500828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223421 (or 223419 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 456500828 is about 21365.8799959187. The cubic root of 456500828 is about 769.9819122079.

The spelling of 456500828 in words is "four hundred fifty-six million, five hundred thousand, eight hundred twenty-eight".