319714720 has 192 divisors, whose sum is σ = 874831104. Its totient is φ = 109486080.

The previous prime is 319714639. The next prime is 319714721. The reversal of 319714720 is 27417913.

It is not an unprimeable number, because it can be changed into a prime (319714721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1961359 + ... + 1961521.

It is an arithmetic number, because the mean of its divisors is an integer number (4556412).

Almost surely, 2^319714720 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 319714720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437415552).

319714720 is an abundant number, since it is smaller than the sum of its proper divisors (555116384).

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

319714720 is a wasteful number, since it uses less digits than its factorization.

319714720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 319714720 is about 17880.5682236332. The cubic root of 319714720 is about 683.7870590980.

The spelling of 319714720 in words is "three hundred nineteen million, seven hundred fourteen thousand, seven hundred twenty".