420400001 has 12 divisors (see below), whose sum is σ = 486666432. Its totient is φ = 355744584.

The previous prime is 420399997. The next prime is 420400067. The reversal of 420400001 is 100004024.

It is not a de Polignac number, because 420400001 - 2² = 420399997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420402001) 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, 38876 + ... + 48498.

It is an arithmetic number, because the mean of its divisors is an integer number (40555536).

Almost surely, 2^420400001 is an apocalyptic number.

It is an amenable number.

420400001 is a deficient number, since it is larger than the sum of its proper divisors (66266431).

420400001 is an frugal number, since it uses more digits than its factorization.

420400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 420400001 is about 20503.6582345688. The cubic root of 420400001 is about 749.1249058626.

Adding to 420400001 its reverse (100004024), we get a palindrome (520404025).

The spelling of 420400001 in words is "four hundred twenty million, four hundred thousand, one".