314371200 has 384 divisors, whose sum is σ = 1221796800. Its totient is φ = 70041600.

The previous prime is 314371181. The next prime is 314371201. The reversal of 314371200 is 2173413.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (314371201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372686 + ... + 1372914.

Almost surely, 2^314371200 is an apocalyptic number.

314371200 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 314371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610898400).

314371200 is an abundant number, since it is smaller than the sum of its proper divisors (907425600).

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

314371200 is a wasteful number, since it uses less digits than its factorization.

314371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 314371200 is about 17730.5160669395. The cubic root of 314371200 is about 679.9561678783.

The spelling of 314371200 in words is "three hundred fourteen million, three hundred seventy-one thousand, two hundred".