506308838400 has 1320 divisors, whose sum is σ = 2012328077760. Its totient is φ = 125411328000.

The previous prime is 506308838389. The next prime is 506308838429. The reversal of 506308838400 is 4838803605.

506308838400 is a `hidden beast` number, since 5 + 0 + 630 + 8 + 8 + 3 + 8 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2797286310 + ... + 2797286490.

It is an arithmetic number, because the mean of its divisors is an integer number (1524490968).

Almost surely, 2^506308838400 is an apocalyptic number.

506308838400 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 506308838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006164038880).

506308838400 is an abundant number, since it is smaller than the sum of its proper divisors (1506019239360).

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

506308838400 is a wasteful number, since it uses less digits than its factorization.

506308838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 506308838400 in words is "five hundred six billion, three hundred eight million, eight hundred thirty-eight thousand, four hundred".