313858240 has 56 divisors (see below), whose sum is σ = 750813840. Its totient is φ = 124965888.

The previous prime is 313858211. The next prime is 313858241. The reversal of 313858240 is 42858313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 313858196 and 313858205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313858241) 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 7 ways as a sum of consecutive naturals, for example, 71139 + ... + 75421.

It is an arithmetic number, because the mean of its divisors is an integer number (13407390).

Almost surely, 2^313858240 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 313858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375406920).

313858240 is an abundant number, since it is smaller than the sum of its proper divisors (436955600).

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

313858240 is a wasteful number, since it uses less digits than its factorization.

313858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 313858240 is about 17716.0447052947. The cubic root of 313858240 is about 679.5861380162.

The spelling of 313858240 in words is "three hundred thirteen million, eight hundred fifty-eight thousand, two hundred forty".