314772200 has 48 divisors (see below), whose sum is σ = 743871660. Its totient is φ = 123840000.

The previous prime is 314772173. The next prime is 314772203. The reversal of 314772200 is 2277413.

It can be written as a sum of positive squares in 6 ways, for example, as 37283236 + 277488964 = 6106^2 + 16658^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 314772200.

It is not an unprimeable number, because it can be changed into a prime (314772203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 701 + ... + 25100.

Almost surely, 2^314772200 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 314772200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371935830).

314772200 is an abundant number, since it is smaller than the sum of its proper divisors (429099460).

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

314772200 is a wasteful number, since it uses less digits than its factorization.

314772200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25878 (or 25869 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 314772200 is about 17741.8206506548. The cubic root of 314772200 is about 680.2451538210.

The spelling of 314772200 in words is "three hundred fourteen million, seven hundred seventy-two thousand, two hundred".