504008160 has 96 divisors (see below), whose sum is σ = 1624613760. Its totient is φ = 131271168.

The previous prime is 504008159. The next prime is 504008189. The reversal of 504008160 is 61800405.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 504008160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8431 + ... + 32849.

It is an arithmetic number, because the mean of its divisors is an integer number (16923060).

Almost surely, 2^504008160 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 504008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812306880).

504008160 is an abundant number, since it is smaller than the sum of its proper divisors (1120605600).

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

504008160 is a wasteful number, since it uses less digits than its factorization.

504008160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24480 (or 24472 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 504008160 is about 22450.1260575525. The cubic root of 504008160 is about 795.8157364115.

Adding to 504008160 its reverse (61800405), we get a palindrome (565808565).

The spelling of 504008160 in words is "five hundred four million, eight thousand, one hundred sixty".