314441200 has 60 divisors (see below), whose sum is σ = 781523640. Its totient is φ = 121434880.

The previous prime is 314441173. The next prime is 314441201. The reversal of 314441200 is 2144413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314441201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1954 + ... + 25153.

It is an arithmetic number, because the mean of its divisors is an integer number (13025394).

Almost surely, 2^314441200 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 314441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390761820).

314441200 is an abundant number, since it is smaller than the sum of its proper divisors (467082440).

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

314441200 is a wasteful number, since it uses less digits than its factorization.

314441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27154 (or 27143 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 314441200 is about 17732.4899548823. The cubic root of 314441200 is about 680.0066319999.

Adding to 314441200 its reverse (2144413), we get a palindrome (316585613).

It can be divided in two parts, 3144 and 41200, that added together give a palindrome (44344).

The spelling of 314441200 in words is "three hundred fourteen million, four hundred forty-one thousand, two hundred".