314315200 has 84 divisors (see below), whose sum is σ = 798486592. Its totient is φ = 121651200.

The previous prime is 314315173. The next prime is 314315203. The reversal of 314315200 is 2513413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314315203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46432 + ... + 52768.

Almost surely, 2^314315200 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 314315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399243296).

314315200 is an abundant number, since it is smaller than the sum of its proper divisors (484171392).

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

314315200 is a wasteful number, since it uses less digits than its factorization.

314315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 314315200 is about 17728.9367983531. The cubic root of 314315200 is about 679.9157911871.

Adding to 314315200 its reverse (2513413), we get a palindrome (316828613).

The spelling of 314315200 in words is "three hundred fourteen million, three hundred fifteen thousand, two hundred".