420824 has 16 divisors (see below), whose sum is σ = 808920. Its totient is φ = 205120.

The previous prime is 420811. The next prime is 420851. The reversal of 420824 is 428024.

It is a junction number, because it is equal to n+sod(n) for n = 420796 and 420805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 314 + ... + 969.

2⁴²⁰⁸²⁴ is an apocalyptic number.

It is an amenable number.

420824 is a deficient number, since it is larger than the sum of its proper divisors (388096).

420824 is a wasteful number, since it uses less digits than its factorization.

420824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 420824 is about 648.7094881378. The cubic root of 420824 is about 74.9376667270.

Adding to 420824 its reverse (428024), we get a palindrome (848848).

The spelling of 420824 in words is "four hundred twenty thousand, eight hundred twenty-four".