506008320 has 144 divisors (see below), whose sum is σ = 1625078112. Its totient is φ = 134184960.

The previous prime is 506008309. The next prime is 506008339. The reversal of 506008320 is 23800605.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1201710 + ... + 1202130.

Almost surely, 2^506008320 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 506008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812539056).

506008320 is an abundant number, since it is smaller than the sum of its proper divisors (1119069792).

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

506008320 is a wasteful number, since it uses less digits than its factorization.

506008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 506008320 is about 22494.6286922012. The cubic root of 506008320 is about 796.8670803673.

Adding to 506008320 its reverse (23800605), we get a palindrome (529808925).

The spelling of 506008320 in words is "five hundred six million, eight thousand, three hundred twenty".