420666753 has 16 divisors (see below), whose sum is σ = 605404800. Its totient is φ = 258284544.

The previous prime is 420666739. The next prime is 420666767. The reversal of 420666753 is 357666024.

It is an interprime number because it is at equal distance from previous prime (420666739) and next prime (420666767).

It is not a de Polignac number, because 420666753 - 2¹⁴ = 420650369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (420666703) 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 15 ways as a sum of consecutive naturals, for example, 5500 + ... + 29522.

It is an arithmetic number, because the mean of its divisors is an integer number (37837800).

Almost surely, 2^420666753 is an apocalyptic number.

It is an amenable number.

420666753 is a deficient number, since it is larger than the sum of its proper divisors (184738047).

420666753 is a wasteful number, since it uses less digits than its factorization.

420666753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24488.

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 420666753 is about 20510.1621885347. The cubic root of 420666753 is about 749.2833171502.

The spelling of 420666753 in words is "four hundred twenty million, six hundred sixty-six thousand, seven hundred fifty-three".