925201200 has 960 divisors, whose sum is σ = 4251156480. Its totient is φ = 165888000.

The previous prime is 925201171. The next prime is 925201237. The reversal of 925201200 is 2102529.

925201200 is digitally balanced in base 2 and base 6, because in such bases 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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29845185 + ... + 29845215.

It is an arithmetic number, because the mean of its divisors is an integer number (4428288).

Almost surely, 2^925201200 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 925201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125578240).

925201200 is an abundant number, since it is smaller than the sum of its proper divisors (3325955280).

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

925201200 is a wasteful number, since it uses less digits than its factorization.

925201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 925201200 is about 30417.1201792675. The cubic root of 925201200 is about 974.4182196544.

Adding to 925201200 its reverse (2102529), we get a palindrome (927303729).

The spelling of 925201200 in words is "nine hundred twenty-five million, two hundred one thousand, two hundred".