504304413440 has 144 divisors (see below), whose sum is σ = 1251915497280. Its totient is φ = 194408202240.

The previous prime is 504304413433. The next prime is 504304413443. The reversal of 504304413440 is 44314403405.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 504304413397 and 504304413406.

It is not an unprimeable number, because it can be changed into a prime (504304413443) 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, 20663645 + ... + 20688035.

It is an arithmetic number, because the mean of its divisors is an integer number (8693857620).

Almost surely, 2^504304413440 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 504304413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625957748640).

504304413440 is an abundant number, since it is smaller than the sum of its proper divisors (747611083840).

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

504304413440 is a wasteful number, since it uses less digits than its factorization.

504304413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24998 (or 24984 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 504304413440 its reverse (44314403405), we get a palindrome (548618816845).

The spelling of 504304413440 in words is "five hundred four billion, three hundred four million, four hundred thirteen thousand, four hundred forty".