506122368 has 256 divisors, whose sum is σ = 1529902080. Its totient is φ = 147456000.

The previous prime is 506122363. The next prime is 506122369. The reversal of 506122368 is 863221605.

It is not an unprimeable number, because it can be changed into a prime (506122363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8297058 + ... + 8297118.

It is an arithmetic number, because the mean of its divisors is an integer number (5976180).

Almost surely, 2^506122368 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 506122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764951040).

506122368 is an abundant number, since it is smaller than the sum of its proper divisors (1023779712).

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

506122368 is a wasteful number, since it uses less digits than its factorization.

506122368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 506122368 is about 22497.1635545462. The cubic root of 506122368 is about 796.9269438558.

The spelling of 506122368 in words is "five hundred six million, one hundred twenty-two thousand, three hundred sixty-eight".