420020000 has 60 divisors (see below), whose sum is σ = 1033361406. Its totient is φ = 168000000.

The previous prime is 420019993. The next prime is 420020009. The reversal of 420020000 is 20024.

It can be written as a sum of positive squares in 5 ways, for example, as 753424 + 419266576 = 868^2 + 20476^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 420020000.

It is not an unprimeable number, because it can be changed into a prime (420020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9500 + ... + 30500.

Almost surely, 2^420020000 is an apocalyptic number.

420020000 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 420020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516680703).

420020000 is an abundant number, since it is smaller than the sum of its proper divisors (613341406).

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

420020000 is an equidigital number, since it uses as much as digits as its factorization.

420020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21031 (or 21008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 420020000 is about 20494.3894761469. The cubic root of 420020000 is about 748.8991256322.

Adding to 420020000 its reverse (20024), we get a palindrome (420040024).

The spelling of 420020000 in words is "four hundred twenty million, twenty thousand".