319125408 has 96 divisors (see below), whose sum is σ = 988323840. Its totient is φ = 88231680.

The previous prime is 319125397. The next prime is 319125419. The reversal of 319125408 is 804521913.

319125408 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 (319125397) and next prime (319125419).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13173 + ... + 28491.

It is an arithmetic number, because the mean of its divisors is an integer number (10295040).

Almost surely, 2^319125408 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 319125408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494161920).

319125408 is an abundant number, since it is smaller than the sum of its proper divisors (669198432).

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

319125408 is a wasteful number, since it uses less digits than its factorization.

319125408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15370 (or 15362 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 319125408 is about 17864.0815045163. The cubic root of 319125408 is about 683.3666720729.

The spelling of 319125408 in words is "three hundred nineteen million, one hundred twenty-five thousand, four hundred eight".