504411264 has 192 divisors, whose sum is σ = 1684126080. Its totient is φ = 141926400.

The previous prime is 504411263. The next prime is 504411289. The reversal of 504411264 is 462114405.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (504411263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572104 + ... + 572984.

It is an arithmetic number, because the mean of its divisors is an integer number (8771490).

Almost surely, 2^504411264 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 504411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842063040).

504411264 is an abundant number, since it is smaller than the sum of its proper divisors (1179714816).

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

504411264 is a wasteful number, since it uses less digits than its factorization.

504411264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 504411264 is about 22459.1020301347. The cubic root of 504411264 is about 796.0278434408.

Adding to 504411264 its reverse (462114405), we get a palindrome (966525669).

The spelling of 504411264 in words is "five hundred four million, four hundred eleven thousand, two hundred sixty-four".