315166460 has 96 divisors (see below), whose sum is σ = 789626880. Its totient is φ = 103392000.

The previous prime is 315166457. The next prime is 315166463. The reversal of 315166460 is 64661513.

It is an interprime number because it is at equal distance from previous prime (315166457) and next prime (315166463).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315166463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437981 + ... + 438699.

It is an arithmetic number, because the mean of its divisors is an integer number (8225280).

Almost surely, 2^315166460 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 315166460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440).

315166460 is an abundant number, since it is smaller than the sum of its proper divisors (474460420).

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

315166460 is a wasteful number, since it uses less digits than its factorization.

315166460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 315166460 is about 17752.9282091716. The cubic root of 315166460 is about 680.5290433123.

The spelling of 315166460 in words is "three hundred fifteen million, one hundred sixty-six thousand, four hundred sixty".