314213120 has 144 divisors (see below), whose sum is σ = 846804672. Its totient is φ = 110837760.

The previous prime is 314213093. The next prime is 314213129. The reversal of 314213120 is 21312413.

It is not an unprimeable number, because it can be changed into a prime (314213129) 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, 382310 + ... + 383130.

It is an arithmetic number, because the mean of its divisors is an integer number (5880588).

Almost surely, 2^314213120 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 314213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423402336).

314213120 is an abundant number, since it is smaller than the sum of its proper divisors (532591552).

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

314213120 is a wasteful number, since it uses less digits than its factorization.

314213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 314213120 is about 17726.0576553277. The cubic root of 314213120 is about 679.8421779066.

Adding to 314213120 its reverse (21312413), we get a palindrome (335525533).

The spelling of 314213120 in words is "three hundred fourteen million, two hundred thirteen thousand, one hundred twenty".