456528 has 20 divisors (see below), whose sum is σ = 1179488. Its totient is φ = 152160.

The previous prime is 456523. The next prime is 456529. The reversal of 456528 is 825654.

456528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 456495 and 456504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4708 + ... + 4803.

2⁴⁵⁶⁵²⁸ is an apocalyptic number.

456528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

456528 is an abundant number, since it is smaller than the sum of its proper divisors (722960).

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

456528 is a wasteful number, since it uses less digits than its factorization.

456528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9522 (or 9516 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 456528 is about 675.6685578003. The cubic root of 456528 is about 76.9997188948. Note that the first 3 decimals are identical.

The spelling of 456528 in words is "four hundred fifty-six thousand, five hundred twenty-eight".