314870400 has 432 divisors, whose sum is σ = 1253116410. Its totient is φ = 74833920.

The previous prime is 314870393. The next prime is 314870401. The reversal of 314870400 is 4078413.

It can be written as a sum of positive squares in 9 ways, for example, as 2005056 + 312865344 = 1416^2 + 17688^2 .

It is not an unprimeable number, because it can be changed into a prime (314870401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10857586 + ... + 10857614.

Almost surely, 2^314870400 is an apocalyptic number.

314870400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626558205).

314870400 is an abundant number, since it is smaller than the sum of its proper divisors (938246010).

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

314870400 is a wasteful number, since it uses less digits than its factorization.

314870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 314870400 is about 17744.5879073029. The cubic root of 314870400 is about 680.3158855319.

The spelling of 314870400 in words is "three hundred fourteen million, eight hundred seventy thousand, four hundred".