504120420 has 144 divisors (see below), whose sum is σ = 1587261312. Its totient is φ = 129415680.

The previous prime is 504120401. The next prime is 504120451. The reversal of 504120420 is 24021405.

504120420 is a `hidden beast` number, since 504 + 120 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 504120393 and 504120402.

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 47 ways as a sum of consecutive naturals, for example, 612129 + ... + 612951.

It is an arithmetic number, because the mean of its divisors is an integer number (11022648).

Almost surely, 2^504120420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793630656).

504120420 is an abundant number, since it is smaller than the sum of its proper divisors (1083140892).

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

504120420 is a wasteful number, since it uses less digits than its factorization.

504120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 504120420 is about 22452.6261270258. The cubic root of 504120420 is about 795.8748172291.

Adding to 504120420 its reverse (24021405), we get a palindrome (528141825).

The spelling of 504120420 in words is "five hundred four million, one hundred twenty thousand, four hundred twenty".