314141200 has 30 divisors (see below), whose sum is σ = 754725194. Its totient is φ = 125656320.

The previous prime is 314141189. The next prime is 314141203. The reversal of 314141200 is 2141413.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 314140176 = 32^2 + 17724^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (314141203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 392277 + ... + 393076.

Almost surely, 2^314141200 is an apocalyptic number.

It is an amenable number.

314141200 is an abundant number, since it is smaller than the sum of its proper divisors (440583994).

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

314141200 is a wasteful number, since it uses less digits than its factorization.

314141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785371 (or 785360 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 314141200 is about 17724.0288873608. The cubic root of 314141200 is about 679.7903044304.

Adding to 314141200 its reverse (2141413), we get a palindrome (316282613).

The spelling of 314141200 in words is "three hundred fourteen million, one hundred forty-one thousand, two hundred".