315340480 has 336 divisors, whose sum is σ = 1004011200. Its totient is φ = 93929472.

The previous prime is 315340469. The next prime is 315340481. The reversal of 315340480 is 84043513.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (315340481) 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, 18549432 + ... + 18549448.

Almost surely, 2^315340480 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 315340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502005600).

315340480 is an abundant number, since it is smaller than the sum of its proper divisors (688670720).

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

315340480 is a wasteful number, since it uses less digits than its factorization.

315340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 315340480 is about 17757.8286960991. The cubic root of 315340480 is about 680.6542722410.

Adding to 315340480 its reverse (84043513), we get a palindrome (399383993).

The spelling of 315340480 in words is "three hundred fifteen million, three hundred forty thousand, four hundred eighty".