314412144 has 80 divisors (see below), whose sum is σ = 863150112. Its totient is φ = 98279424.

The previous prime is 314412143. The next prime is 314412181. The reversal of 314412144 is 441214413.

314412144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314412143) 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, 303852 + ... + 304884.

Almost surely, 2^314412144 is an apocalyptic number.

314412144 is a gapful number since it is divisible by the number (34) 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 314412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431575056).

314412144 is an abundant number, since it is smaller than the sum of its proper divisors (548737968).

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

314412144 is a wasteful number, since it uses less digits than its factorization.

314412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1428 counting only the distinct ones).

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

The square root of 314412144 is about 17731.6706488701. The cubic root of 314412144 is about 679.9856859732.

Adding to 314412144 its reverse (441214413), we get a palindrome (755626557).

The spelling of 314412144 in words is "three hundred fourteen million, four hundred twelve thousand, one hundred forty-four".