318414320 has 80 divisors (see below), whose sum is σ = 857772480. Its totient is φ = 107661312.

The previous prime is 318414289. The next prime is 318414347. The reversal of 318414320 is 23414813.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 318414320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36986 + ... + 44774.

It is an arithmetic number, because the mean of its divisors is an integer number (10722156).

Almost surely, 2^318414320 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 318414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428886240).

318414320 is an abundant number, since it is smaller than the sum of its proper divisors (539358160).

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

318414320 is a wasteful number, since it uses less digits than its factorization.

318414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 318414320 is about 17844.1676746213. The cubic root of 318414320 is about 682.8587262925.

The spelling of 318414320 in words is "three hundred eighteen million, four hundred fourteen thousand, three hundred twenty".