420360 has 64 divisors (see below), whose sum is σ = 1313280. Its totient is φ = 107520.

The previous prime is 420353. The next prime is 420361. The reversal of 420360 is 63024.

420360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420361) 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 15 ways as a sum of consecutive naturals, for example, 3664 + ... + 3776.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2⁴²⁰³⁶⁰ is an apocalyptic number.

420360 is a gapful number since it is divisible by the number (40) 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 420360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640).

420360 is an abundant number, since it is smaller than the sum of its proper divisors (892920).

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

420360 is a wasteful number, since it uses less digits than its factorization.

420360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

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

The square root of 420360 is about 648.3517563792. The cubic root of 420360 is about 74.9101145400.

Adding to 420360 its reverse (63024), we get a palindrome (483384).

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

The spelling of 420360 in words is "four hundred twenty thousand, three hundred sixty".