316489680 has 450 divisors, whose sum is σ = 1264409586. Its totient is φ = 73322496.

The previous prime is 316489643. The next prime is 316489687. The reversal of 316489680 is 86984613.

It can be written as a sum of positive squares in 9 ways, for example, as 88962624 + 227527056 = 9432^2 + 15084^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316489687) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 18617032 + ... + 18617048.

Almost surely, 2^316489680 is an apocalyptic number.

316489680 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 316489680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632204793).

316489680 is an abundant number, since it is smaller than the sum of its proper divisors (947919906).

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

316489680 is a wasteful number, since it uses less digits than its factorization.

316489680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 316489680 is about 17790.1568289883. The cubic root of 316489680 is about 681.4801093434.

Multiplying 316489680 by its sum of digits (45), we get a square (14242035600 = 119340²).

316489680 divided by its sum of digits (45) gives a square (7033104 = 2652²).

It can be divided in two parts, 31648 and 9680, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 316489680 in words is "three hundred sixteen million, four hundred eighty-nine thousand, six hundred eighty".