420777565 has 16 divisors (see below), whose sum is σ = 546050736. Its totient is φ = 309427200.

The previous prime is 420777563. The next prime is 420777569. The reversal of 420777565 is 565777024.

It can be written as a sum of positive squares in 8 ways, for example, as 77898276 + 342879289 = 8826^2 + 18517^2 .

It is not a de Polignac number, because 420777565 - 2¹ = 420777563 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420777563) 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, 2235 + ... + 29095.

It is an arithmetic number, because the mean of its divisors is an integer number (34128171).

Almost surely, 2^420777565 is an apocalyptic number.

It is an amenable number.

420777565 is a deficient number, since it is larger than the sum of its proper divisors (125273171).

420777565 is a wasteful number, since it uses less digits than its factorization.

420777565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27120.

The product of its (nonzero) digits is 411600, while the sum is 43.

The square root of 420777565 is about 20512.8634032404. The cubic root of 420777565 is about 749.3491034231.

The spelling of 420777565 in words is "four hundred twenty million, seven hundred seventy-seven thousand, five hundred sixty-five".