504312453440 has 112 divisors (see below), whose sum is σ = 1206486846864. Its totient is φ = 200787148800.

The previous prime is 504312453439. The next prime is 504312453443. The reversal of 504312453440 is 44354213405.

It can be written as a sum of positive squares in 8 ways, for example, as 485056576 + 503827396864 = 22024^2 + 709808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 504312453440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504312453443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100438130 + ... + 100443150.

Almost surely, 2^504312453440 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 504312453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603243423432).

504312453440 is an abundant number, since it is smaller than the sum of its proper divisors (702174393424).

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

504312453440 is a wasteful number, since it uses less digits than its factorization.

504312453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6436 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 504312453440 its reverse (44354213405), we get a palindrome (548666666845).

The spelling of 504312453440 in words is "five hundred four billion, three hundred twelve million, four hundred fifty-three thousand, four hundred forty".