9200630400 has 576 divisors, whose sum is σ = 33746634720. Its totient is φ = 2201272320.

The previous prime is 9200630389. The next prime is 9200630429. The reversal of 9200630400 is 40360029.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85987147 + ... + 85987253.

Almost surely, 2^9200630400 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 9200630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873317360).

9200630400 is an abundant number, since it is smaller than the sum of its proper divisors (24546004320).

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

9200630400 is a wasteful number, since it uses less digits than its factorization.

9200630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 9200630400 is about 95919.9165971280. The cubic root of 9200630400 is about 2095.4269649237.

Adding to 9200630400 its reverse (40360029), we get a palindrome (9240990429).

The spelling of 9200630400 in words is "nine billion, two hundred million, six hundred thirty thousand, four hundred".