360420 has 24 divisors (see below), whose sum is σ = 1009344. Its totient is φ = 96096.

The previous prime is 360407. The next prime is 360421. The reversal of 360420 is 24063.

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 360420.

It is not an unprimeable number, because it can be changed into a prime (360421) by changing a digit.

360420 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2944 + ... + 3063.

It is an arithmetic number, because the mean of its divisors is an integer number (42056).

2³⁶⁰⁴²⁰ is an apocalyptic number.

360420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

360420 is an abundant number, since it is smaller than the sum of its proper divisors (648924).

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

360420 is a wasteful number, since it uses less digits than its factorization.

360420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 360420 is about 600.3498979762. The cubic root of 360420 is about 71.1655200640.

Adding to 360420 its reverse (24063), we get a palindrome (384483).

It can be divided in two parts, 360 and 420, that added together give a triangular number (780 = T₃₉).

The spelling of 360420 in words is "three hundred sixty thousand, four hundred twenty".