315462 has 48 divisors (see below), whose sum is σ = 779760. Its totient is φ = 84672.

The previous prime is 315461. The next prime is 315467. The reversal of 315462 is 264513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315462.

It is not an unprimeable number, because it can be changed into a prime (315461) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8508 + ... + 8544.

It is an arithmetic number, because the mean of its divisors is an integer number (16245).

2³¹⁵⁴⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389880).

315462 is an abundant number, since it is smaller than the sum of its proper divisors (464298).

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

315462 is a wasteful number, since it uses less digits than its factorization.

315462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 315462 is about 561.6600395257. The cubic root of 315462 is about 68.0741693605.

Adding to 315462 its reverse (264513), we get a palindrome (579975).

It can be divided in two parts, 315 and 462, that multiplied together give a triangular number (145530 = T₅₃₉).

The spelling of 315462 in words is "three hundred fifteen thousand, four hundred sixty-two".