420705593 has 32 divisors (see below), whose sum is σ = 545774592. Its totient is φ = 314798400.

The previous prime is 420705589. The next prime is 420705611. The reversal of 420705593 is 395507024.

It is not a de Polignac number, because 420705593 - 2² = 420705589 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420705193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200930 + ... + 203012.

It is an arithmetic number, because the mean of its divisors is an integer number (17055456).

Almost surely, 2^420705593 is an apocalyptic number.

420705593 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

420705593 is a deficient number, since it is larger than the sum of its proper divisors (125068999).

420705593 is a wasteful number, since it uses less digits than its factorization.

420705593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205.

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 420705593 is about 20511.1090143854. The cubic root of 420705593 is about 749.3063767876.

The spelling of 420705593 in words is "four hundred twenty million, seven hundred five thousand, five hundred ninety-three".