315441360 has 240 divisors, whose sum is σ = 1160175744. Its totient is φ = 76336128.

The previous prime is 315441359. The next prime is 315441367. The reversal of 315441360 is 63144513.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315441367) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 626869 + ... + 627371.

Almost surely, 2^315441360 is an apocalyptic number.

315441360 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 315441360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580087872).

315441360 is an abundant number, since it is smaller than the sum of its proper divisors (844734384).

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

315441360 is a wasteful number, since it uses less digits than its factorization.

315441360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 315441360 is about 17760.6689063222. The cubic root of 315441360 is about 680.7268467930.

Adding to 315441360 its reverse (63144513), we get a palindrome (378585873).

The spelling of 315441360 in words is "three hundred fifteen million, four hundred forty-one thousand, three hundred sixty".