420504 has 32 divisors (see below), whose sum is σ = 1201920. Its totient is φ = 120096.

The previous prime is 420503. The next prime is 420521. The reversal of 420504 is 405024.

It is a super-2 number, since 2×420504² = 353647228032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420503) 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, 1084 + ... + 1419.

It is an arithmetic number, because the mean of its divisors is an integer number (37560).

2⁴²⁰⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

420504 is an abundant number, since it is smaller than the sum of its proper divisors (781416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420504 is a wasteful number, since it uses less digits than its factorization.

420504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 420504 is about 648.4627976993. The cubic root of 420504 is about 74.9186673875.

Adding to 420504 its reverse (405024), we get a palindrome (825528).

The spelling of 420504 in words is "four hundred twenty thousand, five hundred four".