314253200 has 60 divisors (see below), whose sum is σ = 779378688. Its totient is φ = 121641600.

The previous prime is 314253187. The next prime is 314253221. The reversal of 314253200 is 2352413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272 + ... + 25071.

Almost surely, 2^314253200 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 314253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389689344).

314253200 is an abundant number, since it is smaller than the sum of its proper divisors (465125488).

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

314253200 is a wasteful number, since it uses less digits than its factorization.

314253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25392 (or 25381 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 314253200 is about 17727.1881583064. The cubic root of 314253200 is about 679.8710828273.

The spelling of 314253200 in words is "three hundred fourteen million, two hundred fifty-three thousand, two hundred".