314563200 has 384 divisors, whose sum is σ = 1230397440. Its totient is φ = 69120000.

The previous prime is 314563199. The next prime is 314563211. The reversal of 314563200 is 2365413.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2083125 + ... + 2083275.

It is an arithmetic number, because the mean of its divisors is an integer number (3204160).

Almost surely, 2^314563200 is an apocalyptic number.

314563200 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 314563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615198720).

314563200 is an abundant number, since it is smaller than the sum of its proper divisors (915834240).

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

314563200 is a wasteful number, since it uses less digits than its factorization.

314563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 314563200 is about 17735.9296345018. The cubic root of 314563200 is about 680.0945658564.

The spelling of 314563200 in words is "three hundred fourteen million, five hundred sixty-three thousand, two hundred".