316464 has 40 divisors (see below), whose sum is σ = 863040. Its totient is φ = 99648.

The previous prime is 316453. The next prime is 316469. The reversal of 316464 is 464613.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 316464.

It is not an unprimeable number, because it can be changed into a prime (316469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (21576).

2³¹⁶⁴⁶⁴ 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 316464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431520).

316464 is an abundant number, since it is smaller than the sum of its proper divisors (546576).

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

316464 is a wasteful number, since it uses less digits than its factorization.

316464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

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

The square root of 316464 is about 562.5513309912. The cubic root of 316464 is about 68.1461677060.

It can be divided in two parts, 316 and 464, that added together give a triangular number (780 = T₃₉).

The spelling of 316464 in words is "three hundred sixteen thousand, four hundred sixty-four".