506398838400 has 2304 divisors, whose sum is σ = 2404326113280. Its totient is φ = 98537472000.

The previous prime is 506398838389. The next prime is 506398838443. The reversal of 506398838400 is 4838893605.

It is a happy number.

506398838400 is a `hidden beast` number, since 506 + 3 + 98 + 8 + 3 + 8 + 40 + 0 = 666.

506398838400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1868630265 + ... + 1868630535.

It is an arithmetic number, because the mean of its divisors is an integer number (1043544320).

Almost surely, 2^506398838400 is an apocalyptic number.

506398838400 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 506398838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202163056640).

506398838400 is an abundant number, since it is smaller than the sum of its proper divisors (1897927274880).

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

506398838400 is a wasteful number, since it uses less digits than its factorization.

506398838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 506398838400 in words is "five hundred six billion, three hundred ninety-eight million, eight hundred thirty-eight thousand, four hundred".