420365 has 8 divisors (see below), whose sum is σ = 550368. Its totient is φ = 305680.

The previous prime is 420361. The next prime is 420367. The reversal of 420365 is 563024.

420365 = 45² + 46² + ... + 110².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 420365 - 2² = 420361 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420365.

It is not an unprimeable number, because it can be changed into a prime (420361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3767 + ... + 3876.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

2⁴²⁰³⁶⁵ is an apocalyptic number.

It is an amenable number.

420365 is a deficient number, since it is larger than the sum of its proper divisors (130003).

420365 is a wasteful number, since it uses less digits than its factorization.

420365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7659.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 420365 is about 648.3556122993. The cubic root of 420365 is about 74.9104115466.

Adding to 420365 its reverse (563024), we get a palindrome (983389).

The spelling of 420365 in words is "four hundred twenty thousand, three hundred sixty-five".