316000440 has 160 divisors (see below), whose sum is σ = 1213930080. Its totient is φ = 72223488.

The previous prime is 316000423. The next prime is 316000459. The reversal of 316000440 is 44000613.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15714 + ... + 29646.

It is an arithmetic number, because the mean of its divisors is an integer number (7587063).

Almost surely, 2^316000440 is an apocalyptic number.

316000440 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 316000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606965040).

316000440 is an abundant number, since it is smaller than the sum of its proper divisors (897929640).

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

316000440 is a wasteful number, since it uses less digits than its factorization.

316000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13963 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 316000440 is about 17776.4012105938. The cubic root of 316000440 is about 681.1287769043.

The spelling of 316000440 in words is "three hundred sixteen million, four hundred forty", and thus it is an aban number.