319043920 has 80 divisors (see below), whose sum is σ = 804948480. Its totient is φ = 116900352.

The previous prime is 319043911. The next prime is 319043929. The reversal of 319043920 is 29340913.

319043920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (319043911) and next prime (319043929).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319043929) 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, 143457 + ... + 145663.

It is an arithmetic number, because the mean of its divisors is an integer number (10061856).

Almost surely, 2^319043920 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 319043920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402474240).

319043920 is an abundant number, since it is smaller than the sum of its proper divisors (485904560).

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

319043920 is a wasteful number, since it uses less digits than its factorization.

319043920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 319043920 is about 17861.8005811284. The cubic root of 319043920 is about 683.3085017085.

The spelling of 319043920 in words is "three hundred nineteen million, forty-three thousand, nine hundred twenty".