420356565 has 48 divisors (see below), whose sum is σ = 744681600. Its totient is φ = 219300480.

The previous prime is 420356539. The next prime is 420356567. The reversal of 420356565 is 565653024.

It is a happy number.

420356565 is a `hidden beast` number, since 42 + 0 + 3 + 56 + 565 = 666.

It is not a de Polignac number, because 420356565 - 2¹⁵ = 420323797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420356567) 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 47 ways as a sum of consecutive naturals, for example, 475614 + ... + 476496.

It is an arithmetic number, because the mean of its divisors is an integer number (15514200).

Almost surely, 2^420356565 is an apocalyptic number.

420356565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420356565 is a deficient number, since it is larger than the sum of its proper divisors (324325035).

420356565 is a wasteful number, since it uses less digits than its factorization.

420356565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 420356565 is about 20502.5989815926. The cubic root of 420356565 is about 749.0991049508.

The spelling of 420356565 in words is "four hundred twenty million, three hundred fifty-six thousand, five hundred sixty-five".