314040200 has 48 divisors (see below), whose sum is σ = 742141860. Its totient is φ = 123552000.

The previous prime is 314040193. The next prime is 314040203. The reversal of 314040200 is 2040413.

It can be written as a sum of positive squares in 6 ways, for example, as 59382436 + 254657764 = 7706^2 + 15958^2 .

It is not an unprimeable number, because it can be changed into a prime (314040203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 671 + ... + 25070.

Almost surely, 2^314040200 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 314040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371070930).

314040200 is an abundant number, since it is smaller than the sum of its proper divisors (428101660).

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

314040200 is a wasteful number, since it uses less digits than its factorization.

314040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25818 (or 25809 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 314040200 is about 17721.1794189890. The cubic root of 314040200 is about 679.7174431605.

Adding to 314040200 its reverse (2040413), we get a palindrome (316080613).

The spelling of 314040200 in words is "three hundred fourteen million, forty thousand, two hundred".