314213440 has 56 divisors (see below), whose sum is σ = 760533912. Its totient is φ = 123617280.

The previous prime is 314213437. The next prime is 314213441. The reversal of 314213440 is 44312413.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 313148416 = 1032^2 + 17696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314213441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11472 + ... + 27568.

Almost surely, 2^314213440 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 314213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380266956).

314213440 is an abundant number, since it is smaller than the sum of its proper divisors (446320472).

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

314213440 is a wasteful number, since it uses less digits than its factorization.

314213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16175 (or 16165 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 314213440 is about 17726.0666815851. The cubic root of 314213440 is about 679.8424086941.

Adding to 314213440 its reverse (44312413), we get a palindrome (358525853).

The spelling of 314213440 in words is "three hundred fourteen million, two hundred thirteen thousand, four hundred forty".