663350400 has 288 divisors, whose sum is σ = 2446629120. Its totient is φ = 170956800.

The previous prime is 663350323. The next prime is 663350407. The reversal of 663350400 is 4053366.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (663350407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 892429 + ... + 893171.

It is an arithmetic number, because the mean of its divisors is an integer number (8495240).

Almost surely, 2^663350400 is an apocalyptic number.

663350400 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 663350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223314560).

663350400 is an abundant number, since it is smaller than the sum of its proper divisors (1783278720).

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

663350400 is a wasteful number, since it uses less digits than its factorization.

663350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 663350400 is about 25755.5896845714. The cubic root of 663350400 is about 872.1295433612.

The spelling of 663350400 in words is "six hundred sixty-three million, three hundred fifty thousand, four hundred".