506483208 has 288 divisors, whose sum is σ = 1801163520. Its totient is φ = 127008000.

The previous prime is 506483191. The next prime is 506483213. The reversal of 506483208 is 802384605.

506483208 is a `hidden beast` number, since 5 + 0 + 648 + 3 + 2 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1202838 + ... + 1203258.

It is an arithmetic number, because the mean of its divisors is an integer number (6254040).

Almost surely, 2^506483208 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 506483208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900581760).

506483208 is an abundant number, since it is smaller than the sum of its proper divisors (1294680312).

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

506483208 is a wasteful number, since it uses less digits than its factorization.

506483208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 506483208 is about 22505.1818033092. The cubic root of 506483208 is about 797.1162885837.

The spelling of 506483208 in words is "five hundred six million, four hundred eighty-three thousand, two hundred eight".