315071946 has 96 divisors (see below), whose sum is σ = 843672960. Its totient is φ = 82954368.

The previous prime is 315071903. The next prime is 315071947. The reversal of 315071946 is 649170513.

It is a super-3 number, since 3×315071946³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 315071946.

It is not an unprimeable number, because it can be changed into a prime (315071947) 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, 86800 + ... + 90356.

It is an arithmetic number, because the mean of its divisors is an integer number (8788260).

Almost surely, 2^315071946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315071946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421836480).

315071946 is an abundant number, since it is smaller than the sum of its proper divisors (528601014).

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

315071946 is a wasteful number, since it uses less digits than its factorization.

315071946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 315071946 is about 17750.2660825127. The cubic root of 315071946 is about 680.4610094733.

The spelling of 315071946 in words is "three hundred fifteen million, seventy-one thousand, nine hundred forty-six".