664466400 has 432 divisors, whose sum is σ = 2616082560. Its totient is φ = 157593600.

The previous prime is 664466399. The next prime is 664466417. The reversal of 664466400 is 4664466.

It is a happy number.

664466400 is a `hidden beast` number, since 6 + 6 + 4 + 4 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2901486 + ... + 2901714.

Almost surely, 2^664466400 is an apocalyptic number.

664466400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308041280).

664466400 is an abundant number, since it is smaller than the sum of its proper divisors (1951616160).

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

664466400 is a wasteful number, since it uses less digits than its factorization.

664466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 664466400 is about 25777.2457799510. The cubic root of 664466400 is about 872.6183505162.

The spelling of 664466400 in words is "six hundred sixty-four million, four hundred sixty-six thousand, four hundred".