316390464 has 336 divisors, whose sum is σ = 1065093120. Its totient is φ = 89026560.

The previous prime is 316390463. The next prime is 316390523. The reversal of 316390464 is 464093613.

It is a super-3 number, since 3×316390464³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316390463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6731689 + ... + 6731735.

It is an arithmetic number, because the mean of its divisors is an integer number (3169920).

Almost surely, 2^316390464 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 316390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532546560).

316390464 is an abundant number, since it is smaller than the sum of its proper divisors (748702656).

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

316390464 is a wasteful number, since it uses less digits than its factorization.

316390464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 316390464 is about 17787.3681021111. The cubic root of 316390464 is about 681.4088897520.

The spelling of 316390464 in words is "three hundred sixteen million, three hundred ninety thousand, four hundred sixty-four".