314113440 has 96 divisors (see below), whose sum is σ = 992186496. Its totient is φ = 83532800.

The previous prime is 314113439. The next prime is 314113441. The reversal of 314113440 is 44311413.

314113440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (314113439) and next prime (314113441).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (314113441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240790 + ... + 242090.

It is an arithmetic number, because the mean of its divisors is an integer number (10335276).

Almost surely, 2^314113440 is an apocalyptic number.

314113440 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 314113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496093248).

314113440 is an abundant number, since it is smaller than the sum of its proper divisors (678073056).

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

314113440 is a wasteful number, since it uses less digits than its factorization.

314113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 314113440 is about 17723.2457524010. The cubic root of 314113440 is about 679.7702799587.

Adding to 314113440 its reverse (44311413), we get a palindrome (358424853).

The spelling of 314113440 in words is "three hundred fourteen million, one hundred thirteen thousand, four hundred forty".