420765 has 8 divisors (see below), whose sum is σ = 673248. Its totient is φ = 224400.

The previous prime is 420757. The next prime is 420769. The reversal of 420765 is 567024.

It is a happy number.

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

It is not a de Polignac number, because 420765 - 2³ = 420757 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

420765 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420769) 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, 14011 + ... + 14040.

It is an arithmetic number, because the mean of its divisors is an integer number (84156).

2⁴²⁰⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

420765 is a deficient number, since it is larger than the sum of its proper divisors (252483).

420765 is a wasteful number, since it uses less digits than its factorization.

420765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28059.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 420765 is about 648.6640116424. The cubic root of 420765 is about 74.9341644482.

Adding to 420765 its reverse (567024), we get a palindrome (987789).

The spelling of 420765 in words is "four hundred twenty thousand, seven hundred sixty-five".