420111300 has 108 divisors (see below), whose sum is σ = 1414024080. Its totient is φ = 96022080.

The previous prime is 420111281. The next prime is 420111319. The reversal of 420111300 is 3111024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420111281) and next prime (420111319).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 411 + ... + 28989.

Almost surely, 2^420111300 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 420111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707012040).

420111300 is an abundant number, since it is smaller than the sum of its proper divisors (993912780).

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

420111300 is a wasteful number, since it uses less digits than its factorization.

420111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28610 (or 28596 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 420111300 is about 20496.6167939980. The cubic root of 420111300 is about 748.9533845854.

Adding to 420111300 its reverse (3111024), we get a palindrome (423222324).

The spelling of 420111300 in words is "four hundred twenty million, one hundred eleven thousand, three hundred".