314301200 has 30 divisors (see below), whose sum is σ = 755109594. Its totient is φ = 125720320.

The previous prime is 314301161. The next prime is 314301227. The reversal of 314301200 is 2103413.

314301200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11262736 + 303038464 = 3356^2 + 17408^2 .

It is a super-3 number, since 3×314301200³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 392477 + ... + 393276.

Almost surely, 2^314301200 is an apocalyptic number.

It is an amenable number.

314301200 is an abundant number, since it is smaller than the sum of its proper divisors (440808394).

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

314301200 is a wasteful number, since it uses less digits than its factorization.

314301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785771 (or 785760 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 314301200 is about 17728.5419592250. The cubic root of 314301200 is about 679.9056962649.

Adding to 314301200 its reverse (2103413), we get a palindrome (316404613).

The spelling of 314301200 in words is "three hundred fourteen million, three hundred one thousand, two hundred".