630028800 has 240 divisors, whose sum is σ = 2313780480. Its totient is φ = 167915520.

The previous prime is 630028703. The next prime is 630028807. The reversal of 630028800 is 8820036.

630028800 is a `hidden beast` number, since 630 + 0 + 28 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (630028807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344689 + ... + 346511.

It is an arithmetic number, because the mean of its divisors is an integer number (9640752).

Almost surely, 2^630028800 is an apocalyptic number.

630028800 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 630028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156890240).

630028800 is an abundant number, since it is smaller than the sum of its proper divisors (1683751680).

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

630028800 is a wasteful number, since it uses less digits than its factorization.

630028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 630028800 is about 25100.3744991982. The cubic root of 630028800 is about 857.2749510706.

Adding to 630028800 its reverse (8820036), we get a palindrome (638848836).

The spelling of 630028800 in words is "six hundred thirty million, twenty-eight thousand, eight hundred".