420300800 has 72 divisors (see below), whose sum is σ = 1042218450. Its totient is φ = 168099840.

The previous prime is 420300763. The next prime is 420300823. The reversal of 420300800 is 8003024.

It can be written as a sum of positive squares in 3 ways, for example, as 206439424 + 213861376 = 14368^2 + 14624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47096 + ... + 55304.

Almost surely, 2^420300800 is an apocalyptic number.

420300800 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 420300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521109225).

420300800 is an abundant number, since it is smaller than the sum of its proper divisors (621917650).

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

420300800 is an equidigital number, since it uses as much as digits as its factorization.

420300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8241 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 420300800 is about 20501.2389869491. The cubic root of 420300800 is about 749.0659780275.

Adding to 420300800 its reverse (8003024), we get a palindrome (428303824).

The spelling of 420300800 in words is "four hundred twenty million, three hundred thousand, eight hundred".