420420030 has 128 divisors (see below), whose sum is σ = 1151884800. Its totient is φ = 97542144.

The previous prime is 420419999. The next prime is 420420031. The reversal of 420420030 is 30024024.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 420419991 and 420420009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420420031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 416166 + ... + 417174.

It is an arithmetic number, because the mean of its divisors is an integer number (8999100).

Almost surely, 2^420420030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420420030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575942400).

420420030 is an abundant number, since it is smaller than the sum of its proper divisors (731464770).

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

420420030 is a wasteful number, since it uses less digits than its factorization.

420420030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098.

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 420420030 is about 20504.1466537869. The cubic root of 420420030 is about 749.1368024567.

Adding to 420420030 its reverse (30024024), we get a palindrome (450444054).

The spelling of 420420030 in words is "four hundred twenty million, four hundred twenty thousand, thirty".