420220100 has 72 divisors (see below), whose sum is σ = 944496840. Its totient is φ = 162155520.

The previous prime is 420220079. The next prime is 420220139. The reversal of 420220100 is 1022024.

420220100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 20939776 + 399280324 = 4576^2 + 19982^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506486 + ... + 507314.

Almost surely, 2^420220100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472248420).

420220100 is an abundant number, since it is smaller than the sum of its proper divisors (524276740).

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

420220100 is a wasteful number, since it uses less digits than its factorization.

420220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1010 counting only the distinct ones).

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

The square root of 420220100 is about 20499.2707187353. The cubic root of 420220100 is about 749.0180334018.

Adding to 420220100 its reverse (1022024), we get a palindrome (421242124).

The spelling of 420220100 in words is "four hundred twenty million, two hundred twenty thousand, one hundred".