664608400 has 45 divisors (see below), whose sum is σ = 1597961371. Its totient is φ = 265637120.

The previous prime is 664608377. The next prime is 664608403. The reversal of 664608400 is 4806466.

The square root of 664608400 is 25780.

It is a perfect power (a square), and thus also a powerful number.

664608400 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 4 ways, for example, as 24720784 + 639887616 = 4972^2 + 25296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (664608403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 514956 + ... + 516244.

Almost surely, 2^664608400 is an apocalyptic number.

664608400 is the 25780-th square number.

It is an amenable number.

664608400 is an abundant number, since it is smaller than the sum of its proper divisors (933352971).

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

664608400 is an equidigital number, since it uses as much as digits as its factorization.

664608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The cubic root of 664608400 is about 872.6805071479.

The spelling of 664608400 in words is "six hundred sixty-four million, six hundred eight thousand, four hundred".