314430400 has 42 divisors (see below), whose sum is σ = 773699240. Its totient is φ = 125771520.

The previous prime is 314430367. The next prime is 314430409. The reversal of 314430400 is 4034413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314430409) 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, 96660 + ... + 99859.

Almost surely, 2^314430400 is an apocalyptic number.

It is an amenable number.

314430400 is an abundant number, since it is smaller than the sum of its proper divisors (459268840).

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

314430400 is a wasteful number, since it uses less digits than its factorization.

314430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196541 (or 196526 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 314430400 is about 17732.1854265062. The cubic root of 314430400 is about 679.9988465955.

Adding to 314430400 its reverse (4034413), we get a palindrome (318464813).

The spelling of 314430400 in words is "three hundred fourteen million, four hundred thirty thousand, four hundred".