456528321 has 6 divisors (see below), whose sum is σ = 659429810. Its totient is φ = 304352208.

The previous prime is 456528313. The next prime is 456528329. The reversal of 456528321 is 123825654.

It is an interprime number because it is at equal distance from previous prime (456528313) and next prime (456528329).

It can be written as a sum of positive squares in only one way, i.e., 436601025 + 19927296 = 20895^2 + 4464^2 .

It is not a de Polignac number, because 456528321 - 2³ = 456528313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (456528329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25362676 + ... + 25362693.

Almost surely, 2^456528321 is an apocalyptic number.

It is an amenable number.

456528321 is a deficient number, since it is larger than the sum of its proper divisors (202901489).

456528321 is a wasteful number, since it uses less digits than its factorization.

456528321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50725375 (or 50725372 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 456528321 is about 21366.5233718544. The cubic root of 456528321 is about 769.9973694181.

The spelling of 456528321 in words is "four hundred fifty-six million, five hundred twenty-eight thousand, three hundred twenty-one".