318420 has 72 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 80640.

The previous prime is 318419. The next prime is 318431. The reversal of 318420 is 24813.

It is a happy number.

318420 is nontrivially palindromic in base 13 and base 16.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 318096 = 18^2 + 564^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 318393 and 318402.

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 318420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5190 + ... + 5250.

It is an arithmetic number, because the mean of its divisors is an integer number (14105).

2³¹⁸⁴²⁰ is an apocalyptic number.

318420 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 318420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

318420 is an abundant number, since it is smaller than the sum of its proper divisors (697140).

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

318420 is a wasteful number, since it uses less digits than its factorization.

318420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 318420 is about 564.2871609385. The cubic root of 318420 is about 68.2862786636.

The spelling of 318420 in words is "three hundred eighteen thousand, four hundred twenty".