314014200 has 48 divisors (see below), whose sum is σ = 973445880. Its totient is φ = 83736960.

The previous prime is 314014187. The next prime is 314014201. The reversal of 314014200 is 2410413.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 314014200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314014201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261079 + ... + 262278.

Almost surely, 2^314014200 is an apocalyptic number.

314014200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314014200 is an abundant number, since it is smaller than the sum of its proper divisors (659431680).

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

314014200 is a wasteful number, since it uses less digits than its factorization.

314014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523376 (or 523367 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 314014200 is about 17720.4458183196. The cubic root of 314014200 is about 679.6986842657.

Adding to 314014200 its reverse (2410413), we get a palindrome (316424613).

The spelling of 314014200 in words is "three hundred fourteen million, fourteen thousand, two hundred".