314445144 has 128 divisors (see below), whose sum is σ = 914457600. Its totient is φ = 89295360.

The previous prime is 314445127. The next prime is 314445149. The reversal of 314445144 is 441544413.

314445144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314445149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207349 + ... + 208859.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2^314445144 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 314445144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

314445144 is an abundant number, since it is smaller than the sum of its proper divisors (600012456).

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

314445144 is a wasteful number, since it uses less digits than its factorization.

314445144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1581 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 314445144 is about 17732.6011628300. The cubic root of 314445144 is about 680.0094750698.

Adding to 314445144 its reverse (441544413), we get a palindrome (755989557).

The spelling of 314445144 in words is "three hundred fourteen million, four hundred forty-five thousand, one hundred forty-four".