630553000 has 256 divisors, whose sum is σ = 1940889600. Its totient is φ = 185760000.

The previous prime is 630552997. The next prime is 630553009. The reversal of 630553000 is 355036.

630553000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630553009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1462785 + ... + 1463215.

It is an arithmetic number, because the mean of its divisors is an integer number (7581600).

Almost surely, 2^630553000 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 630553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970444800).

630553000 is an abundant number, since it is smaller than the sum of its proper divisors (1310336600).

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

630553000 is a wasteful number, since it uses less digits than its factorization.

630553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 630553000 is about 25110.8144033602. The cubic root of 630553000 is about 857.5126433550.

The spelling of 630553000 in words is "six hundred thirty million, five hundred fifty-three thousand".