421205200 has 60 divisors (see below), whose sum is σ = 1089800908. Its totient is φ = 155520000.

The previous prime is 421205131. The next prime is 421205207. The reversal of 421205200 is 2502124.

It can be written as a sum of positive squares in 6 ways, for example, as 6512704 + 414692496 = 2552^2 + 20364^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421205207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35301 + ... + 45700.

Almost surely, 2^421205200 is an apocalyptic number.

421205200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421205200 is an abundant number, since it is smaller than the sum of its proper divisors (668595708).

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

421205200 is a wasteful number, since it uses less digits than its factorization.

421205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81032 (or 81021 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 421205200 is about 20523.2843375518. The cubic root of 421205200 is about 749.6028712369.

Adding to 421205200 its reverse (2502124), we get a palindrome (423707324).

The spelling of 421205200 in words is "four hundred twenty-one million, two hundred five thousand, two hundred".