505747008 has 336 divisors, whose sum is σ = 1722455280. Its totient is φ = 140378112.

The previous prime is 505747003. The next prime is 505747009. The reversal of 505747008 is 800747505.

It can be written as a sum of positive squares in 8 ways, for example, as 36864 + 505710144 = 192^2 + 22488^2 .

It is a super-2 number, since 2×505747008² = 511560072201904128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (505747003) 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 47 ways as a sum of consecutive naturals, for example, 3691516 + ... + 3691652.

It is an arithmetic number, because the mean of its divisors is an integer number (5126355).

Almost surely, 2^505747008 is an apocalyptic number.

505747008 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505747008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861227640).

505747008 is an abundant number, since it is smaller than the sum of its proper divisors (1216708272).

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

505747008 is a wasteful number, since it uses less digits than its factorization.

505747008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 505747008 is about 22488.8196222034. The cubic root of 505747008 is about 796.7298844772.

The spelling of 505747008 in words is "five hundred five million, seven hundred forty-seven thousand, eight".