664406900 has 18 divisors (see below), whose sum is σ = 1441763190. Its totient is φ = 265762720.

The previous prime is 664406881. The next prime is 664406909. The reversal of 664406900 is 9604466.

664406900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 79637776 + 584769124 = 8924^2 + 24182^2 .

It is a super-2 number, since 2×664406900² = 882873057535220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664406909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3321935 + ... + 3322134.

It is an arithmetic number, because the mean of its divisors is an integer number (80097955).

Almost surely, 2^664406900 is an apocalyptic number.

It is an amenable number.

664406900 is an abundant number, since it is smaller than the sum of its proper divisors (777356290).

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

664406900 is a wasteful number, since it uses less digits than its factorization.

664406900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644083 (or 6644076 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 664406900 is about 25776.0916354672. The cubic root of 664406900 is about 872.5923033794.

The spelling of 664406900 in words is "six hundred sixty-four million, four hundred six thousand, nine hundred".