420753 has 8 divisors (see below), whose sum is σ = 565600. Its totient is φ = 278208.

The previous prime is 420743. The next prime is 420757. The reversal of 420753 is 357024.

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 420753 - 2⁴ = 420737 is a prime.

It is a super-3 number, since 3×420753³ = 223461607374893331, which contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420757) 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, 88 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (70700).

2⁴²⁰⁷⁵³ is an apocalyptic number.

It is an amenable number.

420753 is a deficient number, since it is larger than the sum of its proper divisors (144847).

420753 is a wasteful number, since it uses less digits than its factorization.

420753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 420753 is about 648.6547617955. The cubic root of 420753 is about 74.9334520802.

Adding to 420753 its reverse (357024), we get a palindrome (777777).

The spelling of 420753 in words is "four hundred twenty thousand, seven hundred fifty-three".