420312300 has 108 divisors (see below), whose sum is σ = 1283808456. Its totient is φ = 106156800.

The previous prime is 420312287. The next prime is 420312307. The reversal of 420312300 is 3213024.

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 420312300.

It is not an unprimeable number, because it can be changed into a prime (420312307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106360 + ... + 110240.

Almost surely, 2^420312300 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 420312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641904228).

420312300 is an abundant number, since it is smaller than the sum of its proper divisors (863496156).

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

420312300 is a wasteful number, since it uses less digits than its factorization.

420312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 420312300 is about 20501.5194558842. The cubic root of 420312300 is about 749.0728097856.

Adding to 420312300 its reverse (3213024), we get a palindrome (423525324).

The spelling of 420312300 in words is "four hundred twenty million, three hundred twelve thousand, three hundred".