420114100 has 144 divisors (see below), whose sum is σ = 1079930880. Its totient is φ = 138902400.

The previous prime is 420114089. The next prime is 420114103. The reversal of 420114100 is 1411024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420114103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3926247 + ... + 3926353.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2^420114100 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 420114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

420114100 is an abundant number, since it is smaller than the sum of its proper divisors (659816780).

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

420114100 is a wasteful number, since it uses less digits than its factorization.

420114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 420114100 is about 20496.6850978396. The cubic root of 420114100 is about 748.9550484816.

Adding to 420114100 its reverse (1411024), we get a palindrome (421525124).

The spelling of 420114100 in words is "four hundred twenty million, one hundred fourteen thousand, one hundred".