504344445408 has 96 divisors (see below), whose sum is σ = 1495119618720. Its totient is φ = 165358817280.

The previous prime is 504344445377. The next prime is 504344445421. The reversal of 504344445408 is 804544443405.

It is a happy number.

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

It is a super-2 number, since 2×504344445408² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4731985 + ... + 4837392.

It is an arithmetic number, because the mean of its divisors is an integer number (15574162695).

Almost surely, 2^504344445408 is an apocalyptic number.

It is an amenable number.

504344445408 is an abundant number, since it is smaller than the sum of its proper divisors (990775173312).

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

504344445408 is a wasteful number, since it uses less digits than its factorization.

504344445408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9569457 (or 9569443 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

The spelling of 504344445408 in words is "five hundred four billion, three hundred forty-four million, four hundred forty-five thousand, four hundred eight".