314650400 has 144 divisors (see below), whose sum is σ = 806151528. Its totient is φ = 119808000.

The previous prime is 314650381. The next prime is 314650417. The reversal of 314650400 is 4056413.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 20322064 + 294328336 = 4508^2 + 17156^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1738310 + ... + 1738490.

Almost surely, 2^314650400 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 314650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403075764).

314650400 is an abundant number, since it is smaller than the sum of its proper divisors (491501128).

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

314650400 is a wasteful number, since it uses less digits than its factorization.

314650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 314650400 is about 17738.3877508639. The cubic root of 314650400 is about 680.1574030087.

The spelling of 314650400 in words is "three hundred fourteen million, six hundred fifty thousand, four hundred".