314000400 has 240 divisors, whose sum is σ = 1190102400. Its totient is φ = 69242880.

The previous prime is 314000399. The next prime is 314000417. The reversal of 314000400 is 4000413.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 242956 + ... + 244244.

It is an arithmetic number, because the mean of its divisors is an integer number (4958760).

Almost surely, 2^314000400 is an apocalyptic number.

314000400 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 314000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595051200).

314000400 is an abundant number, since it is smaller than the sum of its proper divisors (876102000).

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

314000400 is a wasteful number, since it uses less digits than its factorization.

314000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 314000400 is about 17720.0564333187. The cubic root of 314000400 is about 679.6887272008.

Adding to 314000400 its reverse (4000413), we get a palindrome (318000813).

The spelling of 314000400 in words is "three hundred fourteen million, four hundred", and thus it is an aban number.