420015200 has 108 divisors (see below), whose sum is σ = 1127310660. Its totient is φ = 152697600.

The previous prime is 420015199. The next prime is 420015203. The reversal of 420015200 is 2510024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420015203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 94631 + ... + 98969.

Almost surely, 2^420015200 is an apocalyptic number.

420015200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563655330).

420015200 is an abundant number, since it is smaller than the sum of its proper divisors (707295460).

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

420015200 is a wasteful number, since it uses less digits than its factorization.

420015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 420015200 is about 20494.2723705917. The cubic root of 420015200 is about 748.8962728081.

Adding to 420015200 its reverse (2510024), we get a palindrome (422525224).

The spelling of 420015200 in words is "four hundred twenty million, fifteen thousand, two hundred".