315146260 has 96 divisors (see below), whose sum is σ = 785925504. Its totient is φ = 104640000.

The previous prime is 315146243. The next prime is 315146261. The reversal of 315146260 is 62641513.

It is a Smith number, since the sum of its digits (28) 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 (315146261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288315 + ... + 289405.

It is an arithmetic number, because the mean of its divisors is an integer number (8186724).

Almost surely, 2^315146260 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 315146260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392962752).

315146260 is an abundant number, since it is smaller than the sum of its proper divisors (470779244).

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

315146260 is a wasteful number, since it uses less digits than its factorization.

315146260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 315146260 is about 17752.3592798253. The cubic root of 315146260 is about 680.5145039264.

Adding to 315146260 its reverse (62641513), we get a palindrome (377787773).

The spelling of 315146260 in words is "three hundred fifteen million, one hundred forty-six thousand, two hundred sixty".