506798208 has 160 divisors (see below), whose sum is σ = 1723930560. Its totient is φ = 144778752.

The previous prime is 506798197. The next prime is 506798219. The reversal of 506798208 is 802897605.

It is an interprime number because it is at equal distance from previous prime (506798197) and next prime (506798219).

It is a super-2 number, since 2×506798208² = 513688847264022528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69085 + ... + 76067.

It is an arithmetic number, because the mean of its divisors is an integer number (10774566).

Almost surely, 2^506798208 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 506798208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861965280).

506798208 is an abundant number, since it is smaller than the sum of its proper divisors (1217132352).

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

506798208 is an equidigital number, since it uses as much as digits as its factorization.

506798208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7016 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 506798208 is about 22512.1791037651. The cubic root of 506798208 is about 797.2815060352.

The spelling of 506798208 in words is "five hundred six million, seven hundred ninety-eight thousand, two hundred eight".