420002100 has 216 divisors, whose sum is σ = 1517472320. Its totient is φ = 95178240.

The previous prime is 420002083. The next prime is 420002101. The reversal of 420002100 is 1200024.

It is a super-3 number, since 3×420002100³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420002101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1026696 + ... + 1027104.

Almost surely, 2^420002100 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 420002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758736160).

420002100 is an abundant number, since it is smaller than the sum of its proper divisors (1097470220).

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

420002100 is a wasteful number, since it uses less digits than its factorization.

420002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 420002100 is about 20493.9527666090. The cubic root of 420002100 is about 748.8884868652. Note that the first 3 decimals are identical.

Adding to 420002100 its reverse (1200024), we get a palindrome (421202124).

It can be divided in two parts, 42000 and 2100, that added together give a square (44100 = 210²).

The spelling of 420002100 in words is "four hundred twenty million, two thousand, one hundred".