314852000 has 48 divisors (see below), whose sum is σ = 773601192. Its totient is φ = 125939200.

The previous prime is 314851973. The next prime is 314852003. The reversal of 314852000 is 258413.

314852000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 119858704 + 194993296 = 10948^2 + 13964^2 .

It is not an unprimeable number, because it can be changed into a prime (314852003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35357 + ... + 43356.

Almost surely, 2^314852000 is an apocalyptic number.

It is an amenable number.

314852000 is an abundant number, since it is smaller than the sum of its proper divisors (458749192).

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

314852000 is an equidigital number, since it uses as much as digits as its factorization.

314852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78738 (or 78720 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 314852000 is about 17744.0694317848. The cubic root of 314852000 is about 680.3026334593.

The spelling of 314852000 in words is "three hundred fourteen million, eight hundred fifty-two thousand".