420949593 has 12 divisors (see below), whose sum is σ = 618006948. Its totient is φ = 276032160.

The previous prime is 420949577. The next prime is 420949603. The reversal of 420949593 is 395949024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14040009 + 406909584 = 3747^2 + 20172^2 .

It is not a de Polignac number, because 420949593 - 2⁴ = 420949577 is a prime.

420949593 is a modest number, since divided by 49593 gives 4209 as remainder.

It is not an unprimeable number, because it can be changed into a prime (420949513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382830 + ... + 383927.

It is an arithmetic number, because the mean of its divisors is an integer number (51500579).

Almost surely, 2^420949593 is an apocalyptic number.

It is an amenable number.

420949593 is a deficient number, since it is larger than the sum of its proper divisors (197057355).

420949593 is a wasteful number, since it uses less digits than its factorization.

420949593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766824 (or 766821 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 420949593 is about 20517.0561484829. The cubic root of 420949593 is about 749.4512092028.

The spelling of 420949593 in words is "four hundred twenty million, nine hundred forty-nine thousand, five hundred ninety-three".