315420 has 48 divisors (see below), whose sum is σ = 1010688. Its totient is φ = 72000.

The previous prime is 315409. The next prime is 315421. The reversal of 315420 is 24513.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 315420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315421) by changing a digit.

315420 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 15 ways as a sum of consecutive naturals, for example, 45 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (21056).

2³¹⁵⁴²⁰ is an apocalyptic number.

315420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505344).

315420 is an abundant number, since it is smaller than the sum of its proper divisors (695268).

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

315420 is a wasteful number, since it uses less digits than its factorization.

315420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 315420 is about 561.6226491159. The cubic root of 315420 is about 68.0711481387.

Adding to 315420 its reverse (24513), we get a palindrome (339933).

The spelling of 315420 in words is "three hundred fifteen thousand, four hundred twenty".