504502400000 has 264 divisors, whose sum is σ = 1294932478392. Its totient is φ = 196300800000.

The previous prime is 504502399981. The next prime is 504502400033. The reversal of 504502400000 is 4205405.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 359347495936 + 145154904064 = 599456^2 + 380992^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118397870 + ... + 118402130.

Almost surely, 2^504502400000 is an apocalyptic number.

504502400000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504502400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647466239196).

504502400000 is an abundant number, since it is smaller than the sum of its proper divisors (790430078392).

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

504502400000 is an frugal number, since it uses more digits than its factorization.

504502400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4343 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

Adding to 504502400000 its reverse (4205405), we get a palindrome (504506605405).

The spelling of 504502400000 in words is "five hundred four billion, five hundred two million, four hundred thousand".