506304000000 has 728 divisors, whose sum is σ = 1881346230960. Its totient is φ = 134553600000.

The previous prime is 506303999959. The next prime is 506304000017. The reversal of 506304000000 is 403605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1727999854 + ... + 1728000146.

Almost surely, 2^506304000000 is an apocalyptic number.

506304000000 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 506304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940673115480).

506304000000 is an abundant number, since it is smaller than the sum of its proper divisors (1375042230960).

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

506304000000 is an frugal number, since it uses more digits than its factorization.

506304000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 506304000000 its reverse (403605), we get a palindrome (506304403605).

The spelling of 506304000000 in words is "five hundred six billion, three hundred four million", and thus it is an aban number.