316223460 has 576 divisors, whose sum is σ = 1309996800. Its totient is φ = 62705664.

The previous prime is 316223449. The next prime is 316223513. The reversal of 316223460 is 64322613.

316223460 is a `hidden beast` number, since 3 + 1 + 622 + 34 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8546562 + ... + 8546598.

It is an arithmetic number, because the mean of its divisors is an integer number (2274300).

Almost surely, 2^316223460 is an apocalyptic number.

316223460 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 316223460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654998400).

316223460 is an abundant number, since it is smaller than the sum of its proper divisors (993773340).

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

316223460 is a wasteful number, since it uses less digits than its factorization.

316223460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 316223460 is about 17782.6730274163. The cubic root of 316223460 is about 681.2889766999.

The spelling of 316223460 in words is "three hundred sixteen million, two hundred twenty-three thousand, four hundred sixty".