420221000 has 32 divisors (see below), whose sum is σ = 983319480. Its totient is φ = 168088000.

The previous prime is 420220981. The next prime is 420221041. The reversal of 420221000 is 122024.

It can be written as a sum of positive squares in 4 ways, for example, as 39112516 + 381108484 = 6254^2 + 19522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209111 + ... + 211110.

Almost surely, 2^420221000 is an apocalyptic number.

420221000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420221000 is an abundant number, since it is smaller than the sum of its proper divisors (563098480).

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

420221000 is a wasteful number, since it uses less digits than its factorization.

420221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420242 (or 420228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 420221000 is about 20499.2926707240. The cubic root of 420221000 is about 749.0185681340.

Adding to 420221000 its reverse (122024), we get a palindrome (420343024).

The spelling of 420221000 in words is "four hundred twenty million, two hundred twenty-one thousand".