200630245200 has 1080 divisors, whose sum is σ = 831577963104. Its totient is φ = 41194137600.

The previous prime is 200630245097. The next prime is 200630245219. The reversal of 200630245200 is 2542036002.

It is a super-3 number, since 3×200630245200³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1159712314 + ... + 1159712486.

Almost surely, 2^200630245200 is an apocalyptic number.

200630245200 is a gapful number since it is divisible by the number (20) 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 200630245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415788981552).

200630245200 is an abundant number, since it is smaller than the sum of its proper divisors (630947717904).

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

200630245200 is a wasteful number, since it uses less digits than its factorization.

200630245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

It can be divided in two parts, 2006302 and 45200, that added together give a palindrome (2051502).

The spelling of 200630245200 in words is "two hundred billion, six hundred thirty million, two hundred forty-five thousand, two hundred".