319152240 has 240 divisors, whose sum is σ = 1190816640. Its totient is φ = 75947520.

The previous prime is 319152199. The next prime is 319152247. The reversal of 319152240 is 42251913.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319152247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466939 + ... + 467621.

It is an arithmetic number, because the mean of its divisors is an integer number (4961736).

Almost surely, 2^319152240 is an apocalyptic number.

319152240 is a gapful number since it is divisible by the number (30) 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 319152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595408320).

319152240 is an abundant number, since it is smaller than the sum of its proper divisors (871664400).

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

319152240 is a wasteful number, since it uses less digits than its factorization.

319152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 319152240 is about 17864.8324929175. The cubic root of 319152240 is about 683.3858239802.

The spelling of 319152240 in words is "three hundred nineteen million, one hundred fifty-two thousand, two hundred forty".