663228000 has 480 divisors, whose sum is σ = 2568646080. Its totient is φ = 167270400.

The previous prime is 663227993. The next prime is 663228029. The reversal of 663228000 is 822366.

663228000 is a `hidden beast` number, since 6 + 632 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7451956 + ... + 7452044.

It is an arithmetic number, because the mean of its divisors is an integer number (5351346).

Almost surely, 2^663228000 is an apocalyptic number.

663228000 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 663228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284323040).

663228000 is an abundant number, since it is smaller than the sum of its proper divisors (1905418080).

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

663228000 is a wasteful number, since it uses less digits than its factorization.

663228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 663228000 is about 25753.2133917304. The cubic root of 663228000 is about 872.0758989010.

The spelling of 663228000 in words is "six hundred sixty-three million, two hundred twenty-eight thousand".