420210500 has 96 divisors (see below), whose sum is σ = 950328288. Its totient is φ = 162240000.

The previous prime is 420210481. The next prime is 420210521. The reversal of 420210500 is 5012024.

It can be written as a sum of positive squares in 16 ways, for example, as 173343556 + 246866944 = 13166^2 + 15712^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2676422 + ... + 2676578.

It is an arithmetic number, because the mean of its divisors is an integer number (9899253).

Almost surely, 2^420210500 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 420210500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475164144).

420210500 is an abundant number, since it is smaller than the sum of its proper divisors (530117788).

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

420210500 is a wasteful number, since it uses less digits than its factorization.

420210500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 420210500 is about 20499.0365627266. The cubic root of 420210500 is about 749.0123295433.

Adding to 420210500 its reverse (5012024), we get a palindrome (425222524).

The spelling of 420210500 in words is "four hundred twenty million, two hundred ten thousand, five hundred".