421200 has 150 divisors (see below), whose sum is σ = 1627934. Its totient is φ = 103680.

The previous prime is 421189. The next prime is 421207. The reversal of 421200 is 2124.

421200 is nontrivially palindromic in base 14.

It is a Cunningham number, because it is equal to 649²-1.

It can be written as a sum of positive squares in 3 ways, for example, as 1296 + 419904 = 36^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 421200.

It is not an unprimeable number, because it can be changed into a prime (421207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32394 + ... + 32406.

2⁴²¹²⁰⁰ is an apocalyptic number.

421200 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 421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813967).

421200 is an abundant number, since it is smaller than the sum of its proper divisors (1206734).

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

421200 is a wasteful number, since it uses less digits than its factorization.

421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 421200 is about 648.9992295835. Note that the first 3 decimals coincide. The cubic root of 421200 is about 74.9599786477.

Adding to 421200 its reverse (2124), we get a palindrome (423324).

The spelling of 421200 in words is "four hundred twenty-one thousand, two hundred", and thus it is an iban number.