420420800 has 84 divisors (see below), whose sum is σ = 1043147520. Its totient is φ = 166763520.

The previous prime is 420420799. The next prime is 420420811. The reversal of 420420800 is 8024024.

420420800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202166 + ... + 204234.

Almost surely, 2^420420800 is an apocalyptic number.

420420800 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 420420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521573760).

420420800 is an abundant number, since it is smaller than the sum of its proper divisors (622726720).

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

420420800 is a wasteful number, since it uses less digits than its factorization.

420420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 420420800 is about 20504.1654304680. The cubic root of 420420800 is about 749.1372598049.

Adding to 420420800 its reverse (8024024), we get a palindrome (428444824).

The spelling of 420420800 in words is "four hundred twenty million, four hundred twenty thousand, eight hundred".