314411244 has 72 divisors (see below), whose sum is σ = 858009600. Its totient is φ = 89347104.

The previous prime is 314411239. The next prime is 314411249. The reversal of 314411244 is 442114413.

It is an interprime number because it is at equal distance from previous prime (314411239) and next prime (314411249).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (314411249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115669 + ... + 118355.

It is an arithmetic number, because the mean of its divisors is an integer number (11916800).

Almost surely, 2^314411244 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 314411244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429004800).

314411244 is an abundant number, since it is smaller than the sum of its proper divisors (543598356).

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

314411244 is a wasteful number, since it uses less digits than its factorization.

314411244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2898 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 314411244 is about 17731.6452705326. The cubic root of 314411244 is about 679.9850371563.

Adding to 314411244 its reverse (442114413), we get a palindrome (756525657).

The spelling of 314411244 in words is "three hundred fourteen million, four hundred eleven thousand, two hundred forty-four".