420220000 has 60 divisors (see below), whose sum is σ = 1033853436. Its totient is φ = 168080000.

The previous prime is 420219983. The next prime is 420220001. The reversal of 420220000 is 22024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420220001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9495 + ... + 30505.

Almost surely, 2^420220000 is an apocalyptic number.

420220000 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 420220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516926718).

420220000 is an abundant number, since it is smaller than the sum of its proper divisors (613633436).

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

420220000 is an equidigital number, since it uses as much as digits as its factorization.

420220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21041 (or 21018 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 420220000 is about 20499.2682796240. The cubic root of 420220000 is about 749.0179739870.

Adding to 420220000 its reverse (22024), we get a palindrome (420242024).

The spelling of 420220000 in words is "four hundred twenty million, two hundred twenty thousand".