420165759 has 16 divisors (see below), whose sum is σ = 616154112. Its totient is φ = 253061088.

The previous prime is 420165749. The next prime is 420165769. The reversal of 420165759 is 957561024.

It is an interprime number because it is at equal distance from previous prime (420165749) and next prime (420165769).

It is not a de Polignac number, because 420165759 - 2¹⁶ = 420100223 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420165749) 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, 112779 + ... + 116444.

It is an arithmetic number, because the mean of its divisors is an integer number (38509632).

Almost surely, 2^420165759 is an apocalyptic number.

420165759 is a deficient number, since it is larger than the sum of its proper divisors (195988353).

420165759 is a wasteful number, since it uses less digits than its factorization.

420165759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229286.

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 420165759 is about 20497.9452384867. The cubic root of 420165759 is about 748.9857454463.

The spelling of 420165759 in words is "four hundred twenty million, one hundred sixty-five thousand, seven hundred fifty-nine".