210420 has 72 divisors (see below), whose sum is σ = 733824. Its totient is φ = 47808.

The previous prime is 210407. The next prime is 210421. The reversal of 210420 is 24012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210421) by changing a digit.

210420 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (10192).

2²¹⁰⁴²⁰ is an apocalyptic number.

210420 is a gapful number since it is divisible by the number (20) 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 210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912).

210420 is an abundant number, since it is smaller than the sum of its proper divisors (523404).

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

210420 is a wasteful number, since it uses less digits than its factorization.

210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

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

The square root of 210420 is about 458.7155981651. The cubic root of 210420 is about 59.4788192859.

Adding to 210420 its reverse (24012), we get a palindrome (234432).

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

The spelling of 210420 in words is "two hundred ten thousand, four hundred twenty", and thus it is an iban number.