315448 has 32 divisors (see below), whose sum is σ = 696960. Its totient is φ = 131040.

The previous prime is 315437. The next prime is 315449. The reversal of 315448 is 844513.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315449) by changing a digit.

315448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2343 + ... + 2473.

It is an arithmetic number, because the mean of its divisors is an integer number (21780).

2³¹⁵⁴⁴⁸ 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 315448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348480).

315448 is an abundant number, since it is smaller than the sum of its proper divisors (381512).

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

315448 is a wasteful number, since it uses less digits than its factorization.

315448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 315448 is about 561.6475763323. The cubic root of 315448 is about 68.0731623164.

It can be divided in two parts, 3 and 15448, that added together give a palindrome (15451).

The spelling of 315448 in words is "three hundred fifteen thousand, four hundred forty-eight".