420903993 has 16 divisors (see below), whose sum is σ = 564815936. Its totient is φ = 278804160.

The previous prime is 420903953. The next prime is 420904013. The reversal of 420903993 is 399309024.

It is not a de Polignac number, because 420903993 - 2⁶ = 420903929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420903943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573855 + ... + 574587.

It is an arithmetic number, because the mean of its divisors is an integer number (35300996).

Almost surely, 2^420903993 is an apocalyptic number.

It is an amenable number.

420903993 is a deficient number, since it is larger than the sum of its proper divisors (143911943).

420903993 is a wasteful number, since it uses less digits than its factorization.

420903993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704.

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 420903993 is about 20515.9448478494. The cubic root of 420903993 is about 749.4241464145.

The spelling of 420903993 in words is "four hundred twenty million, nine hundred three thousand, nine hundred ninety-three".