505790208 has 216 divisors, whose sum is σ = 1818800256. Its totient is φ = 131328000.

The previous prime is 505790191. The next prime is 505790221. The reversal of 505790208 is 802097505.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175983 + ... + 178833.

Almost surely, 2^505790208 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 505790208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909400128).

505790208 is an abundant number, since it is smaller than the sum of its proper divisors (1313010048).

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

505790208 is a wasteful number, since it uses less digits than its factorization.

505790208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 505790208 is about 22489.7800789603. The cubic root of 505790208 is about 796.7525689093.

The spelling of 505790208 in words is "five hundred five million, seven hundred ninety thousand, two hundred eight".