314325200 has 240 divisors, whose sum is σ = 922560000. Its totient is φ = 102735360.

The previous prime is 314325197. The next prime is 314325217. The reversal of 314325200 is 2523413.

It is a happy number.

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

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 47 ways as a sum of consecutive naturals, for example, 3978761 + ... + 3978839.

It is an arithmetic number, because the mean of its divisors is an integer number (3844000).

Almost surely, 2^314325200 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 314325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461280000).

314325200 is an abundant number, since it is smaller than the sum of its proper divisors (608234800).

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

314325200 is a wasteful number, since it uses less digits than its factorization.

314325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 314325200 is about 17729.2188209182. The cubic root of 314325200 is about 679.9230016622.

Adding to 314325200 its reverse (2523413), we get a palindrome (316848613).

The spelling of 314325200 in words is "three hundred fourteen million, three hundred twenty-five thousand, two hundred".