420665607 has 24 divisors (see below), whose sum is σ = 636539904. Its totient is φ = 267195984.

The previous prime is 420665587. The next prime is 420665627. The reversal of 420665607 is 706566024.

420665607 is a `hidden beast` number, since 42 + 0 + 6 + 6 + 5 + 607 = 666.

It is an interprime number because it is at equal distance from previous prime (420665587) and next prime (420665627).

It is not a de Polignac number, because 420665607 - 2⁸ = 420665351 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420665627) 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 23 ways as a sum of consecutive naturals, for example, 50578 + ... + 58304.

It is an arithmetic number, because the mean of its divisors is an integer number (26522496).

Almost surely, 2^420665607 is an apocalyptic number.

420665607 is a deficient number, since it is larger than the sum of its proper divisors (215874297).

420665607 is a wasteful number, since it uses less digits than its factorization.

420665607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8019 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 420665607 is about 20510.1342511452. The cubic root of 420665607 is about 749.2826367387.

The spelling of 420665607 in words is "four hundred twenty million, six hundred sixty-five thousand, six hundred seven".