504589801408 has 504 divisors, whose sum is σ = 1380597370880. Its totient is φ = 178888089600.

The previous prime is 504589801343. The next prime is 504589801409. The reversal of 504589801408 is 804108985405.

It is a happy number.

It is a super-2 number, since 2×504589801408² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504589801409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 485648953 + ... + 485649991.

Almost surely, 2^504589801408 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 504589801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690298685440).

504589801408 is an abundant number, since it is smaller than the sum of its proper divisors (876007569472).

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

504589801408 is a wasteful number, since it uses less digits than its factorization.

504589801408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 52.

The spelling of 504589801408 in words is "five hundred four billion, five hundred eighty-nine million, eight hundred one thousand, four hundred eight".