420421200 has 60 divisors (see below), whose sum is σ = 1346753088. Its totient is φ = 112112000.

The previous prime is 420421193. The next prime is 420421201. The reversal of 420421200 is 2124024.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×420421200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420421200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420421201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173976 + ... + 176375.

Almost surely, 2^420421200 is an apocalyptic number.

420421200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420421200 is an abundant number, since it is smaller than the sum of its proper divisors (926331888).

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

420421200 is a wasteful number, since it uses less digits than its factorization.

420421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350372 (or 350361 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 420421200 is about 20504.1751845813. The cubic root of 420421200 is about 749.1374973881.

Adding to 420421200 its reverse (2124024), we get a palindrome (422545224).

The spelling of 420421200 in words is "four hundred twenty million, four hundred twenty-one thousand, two hundred".