420210900 has 108 divisors (see below), whose sum is σ = 1326998400. Its totient is φ = 111216960.

The previous prime is 420210881. The next prime is 420210907. The reversal of 420210900 is 9012024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420210907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123421 + ... + 126779.

Almost surely, 2^420210900 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 420210900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663499200).

420210900 is an abundant number, since it is smaller than the sum of its proper divisors (906787500).

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

420210900 is a wasteful number, since it uses less digits than its factorization.

420210900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 420210900 is about 20499.0463192803. The cubic root of 420210900 is about 749.0125672058.

Adding to 420210900 its reverse (9012024), we get a palindrome (429222924).

The spelling of 420210900 in words is "four hundred twenty million, two hundred ten thousand, nine hundred".