420585193 has 16 divisors (see below), whose sum is σ = 498610816. Its totient is φ = 347276160.

The previous prime is 420585163. The next prime is 420585211. The reversal of 420585193 is 391585024.

It is not a de Polignac number, because 420585193 - 2⁵ = 420585161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420585103) 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, 12403 + ... + 31543.

It is an arithmetic number, because the mean of its divisors is an integer number (31163176).

Almost surely, 2^420585193 is an apocalyptic number.

420585193 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

420585193 is a deficient number, since it is larger than the sum of its proper divisors (78025623).

420585193 is a wasteful number, since it uses less digits than its factorization.

420585193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19264.

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 420585193 is about 20508.1738094839. The cubic root of 420585193 is about 749.2348896662.

It can be divided in two parts, 4205 and 85193, that added together give a palindrome (89398).

The spelling of 420585193 in words is "four hundred twenty million, five hundred eighty-five thousand, one hundred ninety-three".