315280 has 40 divisors (see below), whose sum is σ = 839232. Its totient is φ = 107904.

The previous prime is 315269. The next prime is 315281. The reversal of 315280 is 82513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (315281) by changing a digit.

315280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279 + ... + 841.

2³¹⁵²⁸⁰ 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 315280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419616).

315280 is an abundant number, since it is smaller than the sum of its proper divisors (523952).

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

315280 is a wasteful number, since it uses less digits than its factorization.

315280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 315280 is about 561.4979964345. The cubic root of 315280 is about 68.0610754620.

Adding to 315280 its reverse (82513), we get a palindrome (397793).

It can be divided in two parts, 315 and 280, that added together give a palindrome (595).

The spelling of 315280 in words is "three hundred fifteen thousand, two hundred eighty".