420521800 has 48 divisors (see below), whose sum is σ = 993770100. Its totient is φ = 165446400.

The previous prime is 420521797. The next prime is 420521821. The reversal of 420521800 is 8125024.

It can be written as a sum of positive squares in 6 ways, for example, as 61873956 + 358647844 = 7866^2 + 18938^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5035 + ... + 29434.

Almost surely, 2^420521800 is an apocalyptic number.

420521800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420521800 is an abundant number, since it is smaller than the sum of its proper divisors (573248300).

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

420521800 is a wasteful number, since it uses less digits than its factorization.

420521800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34546 (or 34537 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 420521800 is about 20506.6281967563. The cubic root of 420521800 is about 749.1972447890.

Adding to 420521800 its reverse (8125024), we get a palindrome (428646824).

The spelling of 420521800 in words is "four hundred twenty million, five hundred twenty-one thousand, eight hundred".