456577664 has 32 divisors (see below), whose sum is σ = 923181600. Its totient is φ = 224877312.

The previous prime is 456577663. The next prime is 456577673. The reversal of 456577664 is 466775654.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (456577661) 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 3 ways as a sum of consecutive naturals, for example, 18044 + ... + 35195.

It is an arithmetic number, because the mean of its divisors is an integer number (28849425).

Almost surely, 2^456577664 is an apocalyptic number.

It is an amenable number.

456577664 is an abundant number, since it is smaller than the sum of its proper divisors (466603936).

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

456577664 is an equidigital number, since it uses as much as digits as its factorization.

456577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53320 (or 53308 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 50.

The square root of 456577664 is about 21367.6780207864. The cubic root of 456577664 is about 770.0251096551.

The spelling of 456577664 in words is "four hundred fifty-six million, five hundred seventy-seven thousand, six hundred sixty-four".