420210 has 96 divisors (see below), whose sum is σ = 1347840. Its totient is φ = 88704.

The previous prime is 420193. The next prime is 420221. The reversal of 420210 is 12024.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 420192 and 420201.

It is a congruent number.

It is an unprimeable number.

420210 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14476 + ... + 14504.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2⁴²⁰²¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673920).

420210 is an abundant number, since it is smaller than the sum of its proper divisors (927630).

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

420210 is a wasteful number, since it uses less digits than its factorization.

420210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 420210 is about 648.2360681110. The cubic root of 420210 is about 74.9012032465.

Adding to 420210 its reverse (12024), we get a palindrome (432234).

It can be divided in two parts, 420 and 210, that added together give a triangular number (630 = T₃₅).

The spelling of 420210 in words is "four hundred twenty thousand, two hundred ten", and thus it is an iban number.