456463521 has 12 divisors (see below), whose sum is σ = 659814948. Its totient is φ = 304088064.

The previous prime is 456463517. The next prime is 456463523. The reversal of 456463521 is 125364654.

456463521 is a `hidden beast` number, since 4 + 5 + 646 + 3 + 5 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 428490000 + 27973521 = 20700^2 + 5289^2 .

It is not a de Polignac number, because 456463521 - 2² = 456463517 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456463523) 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 11 ways as a sum of consecutive naturals, for example, 4800 + ... + 30593.

It is an arithmetic number, because the mean of its divisors is an integer number (54984579).

Almost surely, 2^456463521 is an apocalyptic number.

It is an amenable number.

456463521 is a deficient number, since it is larger than the sum of its proper divisors (203351427).

456463521 is a wasteful number, since it uses less digits than its factorization.

456463521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36832 (or 36829 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 456463521 is about 21365.0069272163. The cubic root of 456463521 is about 769.9609363440.

The spelling of 456463521 in words is "four hundred fifty-six million, four hundred sixty-three thousand, five hundred twenty-one".