316414320 has 80 divisors (see below), whose sum is σ = 997010592. Its totient is φ = 82990080.

The previous prime is 316414297. The next prime is 316414321. The reversal of 316414320 is 23414613.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316414321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3834 + ... + 25446.

Almost surely, 2^316414320 is an apocalyptic number.

316414320 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 316414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498505296).

316414320 is an abundant number, since it is smaller than the sum of its proper divisors (680596272).

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

316414320 is a wasteful number, since it uses less digits than its factorization.

316414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21690 (or 21684 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 316414320 is about 17788.0386777182. The cubic root of 316414320 is about 681.4260155125.

Adding to 316414320 its reverse (23414613), we get a palindrome (339828933).

The spelling of 316414320 in words is "three hundred sixteen million, four hundred fourteen thousand, three hundred twenty".