664309305 has 48 divisors (see below), whose sum is σ = 1259818560. Its totient is φ = 321148800.

The previous prime is 664309273. The next prime is 664309309. The reversal of 664309305 is 503903466.

664309305 is a `hidden beast` number, since 6 + 643 + 0 + 9 + 3 + 0 + 5 = 666.

664309305 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 664309305 - 2⁵ = 664309273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 664309305.

It is not an unprimeable number, because it can be changed into a prime (664309309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185835 + ... + 189375.

It is an arithmetic number, because the mean of its divisors is an integer number (26246220).

Almost surely, 2^664309305 is an apocalyptic number.

It is an amenable number.

664309305 is a deficient number, since it is larger than the sum of its proper divisors (595509255).

664309305 is a wasteful number, since it uses less digits than its factorization.

664309305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 664309305 is about 25774.1984356449. The cubic root of 664309305 is about 872.5495761410.

The spelling of 664309305 in words is "six hundred sixty-four million, three hundred nine thousand, three hundred five".