315433248 has 96 divisors (see below), whose sum is σ = 896930496. Its totient is φ = 96488448.

The previous prime is 315433241. The next prime is 315433259. The reversal of 315433248 is 842334513.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (315433241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245215 + ... + 246497.

It is an arithmetic number, because the mean of its divisors is an integer number (9343026).

Almost surely, 2^315433248 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 315433248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448465248).

315433248 is an abundant number, since it is smaller than the sum of its proper divisors (581497248).

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

315433248 is a wasteful number, since it uses less digits than its factorization.

315433248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1498 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 315433248 is about 17760.4405350768. The cubic root of 315433248 is about 680.7210114733.

The spelling of 315433248 in words is "three hundred fifteen million, four hundred thirty-three thousand, two hundred forty-eight".