319314240 has 336 divisors, whose sum is σ = 1285719552. Its totient is φ = 71221248.

The previous prime is 319314239. The next prime is 319314251. The reversal of 319314240 is 42413913.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947352 + ... + 947688.

Almost surely, 2^319314240 is an apocalyptic number.

319314240 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 319314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642859776).

319314240 is an abundant number, since it is smaller than the sum of its proper divisors (966405312).

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

319314240 is a wasteful number, since it uses less digits than its factorization.

319314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 319314240 is about 17869.3659652490. The cubic root of 319314240 is about 683.5014321062.

The spelling of 319314240 in words is "three hundred nineteen million, three hundred fourteen thousand, two hundred forty".