314179712 has 128 divisors (see below), whose sum is σ = 789626880. Its totient is φ = 120960000.

The previous prime is 314179711. The next prime is 314179717. The reversal of 314179712 is 217971413.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (314179711) 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, 1251587 + ... + 1251837.

It is an arithmetic number, because the mean of its divisors is an integer number (6168960).

Almost surely, 2^314179712 is an apocalyptic number.

314179712 is a gapful number since it is divisible by the number (32) 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 314179712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440).

314179712 is an abundant number, since it is smaller than the sum of its proper divisors (475447168).

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

314179712 is a wasteful number, since it uses less digits than its factorization.

314179712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its digits is 10584, while the sum is 35.

The square root of 314179712 is about 17725.1152887647. The cubic root of 314179712 is about 679.8180828248.

The spelling of 314179712 in words is "three hundred fourteen million, one hundred seventy-nine thousand, seven hundred twelve".