315727104 has 288 divisors, whose sum is σ = 1106703360. Its totient is φ = 77414400.

The previous prime is 315727091. The next prime is 315727129. The reversal of 315727104 is 401727513.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123444 + ... + 1123724.

It is an arithmetic number, because the mean of its divisors is an integer number (3842720).

Almost surely, 2^315727104 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 315727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553351680).

315727104 is an abundant number, since it is smaller than the sum of its proper divisors (790976256).

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

315727104 is a wasteful number, since it uses less digits than its factorization.

315727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 315727104 is about 17768.7113770245. The cubic root of 315727104 is about 680.9323312693.

The spelling of 315727104 in words is "three hundred fifteen million, seven hundred twenty-seven thousand, one hundred four".