316438080 has 336 divisors, whose sum is σ = 1210665600. Its totient is φ = 69995520.

The previous prime is 316438033. The next prime is 316438093. The reversal of 316438080 is 80834613.

316438080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10207665 + ... + 10207695.

Almost surely, 2^316438080 is an apocalyptic number.

316438080 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 316438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605332800).

316438080 is an abundant number, since it is smaller than the sum of its proper divisors (894227520).

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

316438080 is an equidigital number, since it uses as much as digits as its factorization.

316438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 316438080 is about 17788.7065297059. The cubic root of 316438080 is about 681.4430715008.

The spelling of 316438080 in words is "three hundred sixteen million, four hundred thirty-eight thousand, eighty".