420423200 has 36 divisors (see below), whose sum is σ = 1026360090. Its totient is φ = 168168960.

The previous prime is 420423181. The next prime is 420423217. The reversal of 420423200 is 2324024.

It can be written as a sum of positive squares in 3 ways, for example, as 283720336 + 136702864 = 16844^2 + 11692^2 .

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 5 ways as a sum of consecutive naturals, for example, 261965 + ... + 263564.

Almost surely, 2^420423200 is an apocalyptic number.

420423200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420423200 is an abundant number, since it is smaller than the sum of its proper divisors (605936890).

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

420423200 is a wasteful number, since it uses less digits than its factorization.

420423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525549 (or 525536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 420423200 is about 20504.2239550781. The cubic root of 420423200 is about 749.1386853020.

Adding to 420423200 its reverse (2324024), we get a palindrome (422747224).

The spelling of 420423200 in words is "four hundred twenty million, four hundred twenty-three thousand, two hundred".