421200000 has 480 divisors, whose sum is σ = 1687274820. Its totient is φ = 103680000.

The previous prime is 421199993. The next prime is 421200047. The reversal of 421200000 is 2124.

It can be written as a sum of positive squares in 6 ways, for example, as 115089984 + 306110016 = 10728^2 + 17496^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32399994 + ... + 32400006.

Almost surely, 2^421200000 is an apocalyptic number.

421200000 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 421200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843637410).

421200000 is an abundant number, since it is smaller than the sum of its proper divisors (1266074820).

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

421200000 is an frugal number, since it uses more digits than its factorization.

421200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

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

The square root of 421200000 is about 20523.1576517845. The cubic root of 421200000 is about 749.5997864768.

Adding to 421200000 its reverse (2124), we get a palindrome (421202124).

The spelling of 421200000 in words is "four hundred twenty-one million, two hundred thousand".