314039200 has 36 divisors (see below), whose sum is σ = 766650150. Its totient is φ = 125615360.

The previous prime is 314039197. The next prime is 314039227. The reversal of 314039200 is 2930413.

It can be written as a sum of positive squares in 3 ways, for example, as 272514064 + 41525136 = 16508^2 + 6444^2 .

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, 195475 + ... + 197074.

Almost surely, 2^314039200 is an apocalyptic number.

It is an amenable number.

314039200 is an abundant number, since it is smaller than the sum of its proper divisors (452610950).

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

314039200 is a wasteful number, since it uses less digits than its factorization.

314039200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392569 (or 392556 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 314039200 is about 17721.1512041402. The cubic root of 314039200 is about 679.7167216837.

Adding to 314039200 its reverse (2930413), we get a palindrome (316969613).

The spelling of 314039200 in words is "three hundred fourteen million, thirty-nine thousand, two hundred".