314005200 has 240 divisors, whose sum is σ = 1086406656. Its totient is φ = 77299200.

The previous prime is 314005187. The next prime is 314005217. The reversal of 314005200 is 2500413.

314005200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 314005200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855417 + ... + 855783.

Almost surely, 2^314005200 is an apocalyptic number.

314005200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543203328).

314005200 is an abundant number, since it is smaller than the sum of its proper divisors (772401456).

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

314005200 is a wasteful number, since it uses less digits than its factorization.

314005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 314005200 is about 17720.1918725504. The cubic root of 314005200 is about 679.6921905608.

Adding to 314005200 its reverse (2500413), we get a palindrome (316505613).

The spelling of 314005200 in words is "three hundred fourteen million, five thousand, two hundred".