420030 has 48 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 103104.

The previous prime is 420029. The next prime is 420037. The reversal of 420030 is 30024.

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

It is a Curzon number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 419994 and 420021.

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 420030.

It is not an unprimeable number, because it can be changed into a prime (420037) by changing a digit.

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, 991 + ... + 1349.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁴²⁰⁰³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

420030 is an abundant number, since it is smaller than the sum of its proper divisors (759330).

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

420030 is a wasteful number, since it uses less digits than its factorization.

420030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 420030 is about 648.0972149300. The cubic root of 420030 is about 74.8905068946.

Adding to 420030 its reverse (30024), we get a palindrome (450054).

The spelling of 420030 in words is "four hundred twenty thousand, thirty".