664446400 has 84 divisors (see below), whose sum is σ = 1658264400. Its totient is φ = 261990400.

The previous prime is 664446373. The next prime is 664446413. The reversal of 664446400 is 4644466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110676 + ... + 116524.

Almost surely, 2^664446400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829132200).

664446400 is an abundant number, since it is smaller than the sum of its proper divisors (993818000).

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

664446400 is a wasteful number, since it uses less digits than its factorization.

664446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5942 (or 5927 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 664446400 is about 25776.8578379910. The cubic root of 664446400 is about 872.6095953496.

The spelling of 664446400 in words is "six hundred sixty-four million, four hundred forty-six thousand, four hundred".