630492800 has 144 divisors (see below), whose sum is σ = 1812252870. Its totient is φ = 216115200.

The previous prime is 630492781. The next prime is 630492809. The reversal of 630492800 is 8294036.

It can be written as a sum of positive squares in 3 ways, for example, as 303317056 + 327175744 = 17416^2 + 18088^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (630492809) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 154790 + ... + 158810.

Almost surely, 2^630492800 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 630492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906126435).

630492800 is an abundant number, since it is smaller than the sum of its proper divisors (1181760070).

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

630492800 is a wasteful number, since it uses less digits than its factorization.

630492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 630492800 is about 25109.6156880188. The cubic root of 630492800 is about 857.4853530748.

The spelling of 630492800 in words is "six hundred thirty million, four hundred ninety-two thousand, eight hundred".