420114300 has 144 divisors (see below), whose sum is σ = 1287834240. Its totient is φ = 105557760.

The previous prime is 420114281. The next prime is 420114311. The reversal of 420114300 is 3411024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420114300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373539 + ... + 374661.

Almost surely, 2^420114300 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 420114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643917120).

420114300 is an abundant number, since it is smaller than the sum of its proper divisors (867719940).

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

420114300 is a wasteful number, since it uses less digits than its factorization.

420114300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 420114300 is about 20496.6899766767. The cubic root of 420114300 is about 748.9551673311.

Adding to 420114300 its reverse (3411024), we get a palindrome (423525324).

The spelling of 420114300 in words is "four hundred twenty million, one hundred fourteen thousand, three hundred".