319384416 has 48 divisors (see below), whose sum is σ = 902878704. Its totient is φ = 98271744.

The previous prime is 319384397. The next prime is 319384441. The reversal of 319384416 is 614483913.

319384416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×319384416² = 204012810367322112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126711 + ... + 129206.

It is an arithmetic number, because the mean of its divisors is an integer number (18809973).

Almost surely, 2^319384416 is an apocalyptic number.

It is an amenable number.

319384416 is an abundant number, since it is smaller than the sum of its proper divisors (583494288).

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

319384416 is a wasteful number, since it uses less digits than its factorization.

319384416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255943 (or 255935 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 319384416 is about 17871.3294413147. The cubic root of 319384416 is about 683.5514996959.

The spelling of 319384416 in words is "three hundred nineteen million, three hundred eighty-four thousand, four hundred sixteen".