630243200 has 96 divisors (see below), whose sum is σ = 1599276360. Its totient is φ = 245237760.

The previous prime is 630243199. The next prime is 630243203. The reversal of 630243200 is 2342036.

It is a super-3 number, since 3×630243200³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630243203) 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 11 ways as a sum of consecutive naturals, for example, 115739 + ... + 121061.

Almost surely, 2^630243200 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 630243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799638180).

630243200 is an abundant number, since it is smaller than the sum of its proper divisors (969033160).

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

630243200 is a wasteful number, since it uses less digits than its factorization.

630243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5367 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 630243200 is about 25104.6449885275. The cubic root of 630243200 is about 857.3721841412.

Adding to 630243200 its reverse (2342036), we get a palindrome (632585236).

The spelling of 630243200 in words is "six hundred thirty million, two hundred forty-three thousand, two hundred".